JEE Main & Advanced Physics Question Bank

done Oblique Projectile Motion Total Questions - 59

• question_answer1)
  A projectile fired with initial velocity \[u\] at some angle \[\theta \] has a range \[R\]. If the initial velocity be doubled at the same angle of projection, then the range will be
  A)
              \[2R\] done clear
  B)
                \[R/2\] done clear
  C)
              \[R\]     done clear
  D)
              \[4R\] done clear
  View Solution play_arrow

• question_answer2)
  If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will
  A)
              Remain the same         done clear
  B)
              Be doubled done clear
  C)
              Be quadrupled done clear
  D)
                Be halved done clear
  View Solution play_arrow

• question_answer3)
  In the motion of a projectile freely under gravity, its
  A)
              Total energy is conserved         done clear
  B)
              Momentum is conserved done clear
  C)
              Energy and momentum both are conserved done clear
  D)
              None is conserved done clear
  View Solution play_arrow

• question_answer4)
  The range of a projectile for a given initial velocity is maximum when the angle of projection is \[{{45}^{o}}\]. The range will be minimum, if the angle of projection is
  A)
              \[{{90}^{o}}\] done clear
  B)
              \[{{180}^{o}}\] done clear
  C)
              \[{{60}^{o}}\]          done clear
  D)
              \[{{75}^{o}}\] done clear
  View Solution play_arrow

• question_answer5)
  The angle of projection at which the horizontal range and maximum height of projectile are equal is [Kurukshetra CEE 1996; BCECE 2003; Pb. PET 2001]
  A)
              \[{{45}^{o}}\]          done clear
  B)
              \[\theta ={{\tan }^{-1}}(0.25)\] done clear
  C)
              \[\theta ={{\tan }^{-1}}4\]or \[(\theta =76{}^\circ )\]       done clear
  D)
              \[{{60}^{o}}\] done clear
  View Solution play_arrow

• question_answer6)
  A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant             [BHU 1999; DPMT 2001; AMU (Engg.) 2000]
  A)
              Kinetic energy of the ball          done clear
  B)
              Speed of the ball done clear
  C)
              Horizontal component of velocity done clear
  D)
              Vertical component of velocity done clear
  View Solution play_arrow

• question_answer7)
  At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
  A)
              Perpendicular to each other     done clear
  B)
              Parallel to each other done clear
  C)
              Inclined to each other at an angle of  \[{{45}^{o}}\] done clear
  D)
              Antiparallel to each other done clear
  View Solution play_arrow

• question_answer8)
  An object is thrown along a direction inclined at an angle of \[{{45}^{o}}\] with the horizontal direction. The horizontal range of the particle is equal to                                [MP PMT 1985]
  A)
              Vertical height done clear
  B)
              Twice the vertical height done clear
  C)
              Thrice the vertical height          done clear
  D)
              Four times the vertical height done clear
  View Solution play_arrow

• question_answer9)
  The height \[y\] and the distance \[x\] along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by \[y=(8t-5{{t}^{2}})\] meter and \[x=6t\] meter, where \[t\] is in second. The velocity with which the projectile is projected is    [CPMT 1981; MP PET 1997]
  A)
              8 m/sec done clear
  B)
              6 m/sec done clear
  C)
              10 m/sec done clear
  D)
              Not obtainable from the data done clear
  View Solution play_arrow

• question_answer10)
  Referring to above question, the angle with the horizontal at which the projectile was projected is [CPMT 1981]
  A)
              \[{{\tan }^{-1}}(3/4\]) done clear
  B)
              \[{{\tan }^{-1}}(4/3)\] done clear
  C)
              \[{{\sin }^{-1}}(3/4\]) done clear
  D)
              Not obtainable from the given data done clear
  View Solution play_arrow

• question_answer11)
  Referring to the above two questions, the acceleration due to gravity is given by                     [CPMT 1981]
  A)
              \[10\,m/{{\sec }^{2}}\] done clear
  B)
                \[5m/{{\sec }^{2}}\] done clear
  C)
              \[20\,\,m/{{\sec }^{2}}\] done clear
  D)
                \[2.5\,\,m/{{\sec }^{2}}\] done clear
  View Solution play_arrow

• question_answer12)
  The range of a particle when launched at an angle of \[{{15}^{o}}\] with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of \[{{45}^{o}}\] to the horizontal                                  [CPMT 1982]
  A)
              1.5 km done clear
  B)
                3.0 km done clear
  C)
              6.0 km done clear
  D)
                0.75 km done clear
  View Solution play_arrow

• question_answer13)
  A cricketer hits a ball with a velocity \[25\,\,m/s\] at \[{{60}^{o}}\] above the horizontal. How far above the ground it passes over a fielder 50 \[m\] from the bat (assume the ball is struck very close to the ground) [BVP 2003]
  A)
              8.2 m   done clear
  B)
              9.0 m done clear
  C)
              11.6 m done clear
  D)
                12.7 m done clear
  View Solution play_arrow

• question_answer14)
  A stone is projected from the ground with velocity \[25\,m/s\]. Two seconds later, it just clears a wall 5 m high. The angle of projection of the stone is \[(g=10m/{{\sec }^{2}})\]
  A)
                          \[{{30}^{o}}\]                    done clear
  B)
              \[{{45}^{o}}\] done clear
  C)
              \[{{50.2}^{o}}\]       done clear
  D)
              \[{{60}^{o}}\] done clear
  View Solution play_arrow

• question_answer15)
  Galileo writes that for angles of projection of a projectile at angles \[(45+\theta )\] and \[(45-\theta )\], the horizontal ranges described by the projectile are in the ratio of (if \[\theta \le 45)\]              [MP PET 1993]
  A)
              2 : 1     done clear
  B)
              1 : 2 done clear
  C)
              1 : 1     done clear
  D)
              2 : 3 done clear
  View Solution play_arrow

• question_answer16)
  A projectile thrown with a speed \[v\] at an angle \[\theta \] has a range \[R\] on the surface of earth. For same \[v\] and \[\theta \], its range on the surface of moon will be
  A)
              \[R/6\]  done clear
  B)
              \[6R\] done clear
  C)
              \[R/36\]            done clear
  D)
              \[36R\] done clear
  View Solution play_arrow

• question_answer17)
  The greatest height to which a man can throw a stone is \[\sqrt{\frac{F}{m\,r}}\]. The greatest distance to which he can throw it, will be
  A)
              \[2\,\pi \,{{r}^{2}}/T\]          done clear
  B)
              \[\upsilon ,\,\upsilon \text{ and }\upsilon \] done clear
  C)
              \[2h\]    done clear
  D)
              \[3h\] done clear
  View Solution play_arrow

• question_answer18)
  The horizontal range is four times the maximum height attained by a projectile. The angle of projection is [MP PET 1994; CBSE PMT 2000; RPET 2001]
  A)
              \[{{90}^{o}}\]          done clear
  B)
              \[{{60}^{o}}\] done clear
  C)
              \[{{45}^{o}}\]          done clear
  D)
              \[{{30}^{o}}\] done clear
  View Solution play_arrow

• question_answer19)
  A ball is projected with kinetic energy \[E\]at an angle of \[{{45}^{o}}\] to the horizontal. At the highest point during its flight, its kinetic energy will be                                  [MP PMT 1994; CBSE PMT 1997, 2001; AIEEE 2002; Pb. PMT 2004; Orissa PMT 2004]
  A)
              Zero     done clear
  B)
              \[\frac{E}{2}\] done clear
  C)
              \[\frac{E}{\sqrt{2}}\]  done clear
  D)
              \[E\] done clear
  View Solution play_arrow

• question_answer20)
  A particle of mass \[m\] is projected with velocity \[v\] making an angle of \[{{45}^{o}}\]with the horizontal. The magnitude of the angular momentum of the particle about the point of projection when the particle is at its maximum height is (where \[g=\] acceleration due to gravity) [MP PMT 1994; MP PET 2001; Pb. PET 2004]
  A)
              Zero     done clear
  B)
              \[m{{v}^{3}}/(4\sqrt{2}g)\] done clear
  C)
              \[m{{v}^{3}}/(\sqrt{2}g)\] done clear
  D)
                \[m{{v}^{2}}/2g\] done clear
  View Solution play_arrow

• question_answer21)
  A particle reaches its highest point when it has covered exactly one half of its horizontal range. The corresponding point on the displacement time graph is characterised by             [AIIMS 1995]
  A)
              Negative slope and zero curvature done clear
  B)
              Zero slope and negative curvature done clear
  C)
              Zero slope and positive curvature done clear
  D)
              Positive slope and zero curvature done clear
  View Solution play_arrow

• question_answer22)
  At the top of the trajectory of a projectile, the acceleration is                                      [Manipal MEE 1995]
  A)
              Maximum        done clear
  B)
              Minimum done clear
  C)
              Zero     done clear
  D)
              g done clear
  View Solution play_arrow

• question_answer23)
  When a body is thrown with a velocity \[u\] making an angle \[\theta \] with the horizontal plane, the maximum distance covered by it in horizontal direction is           [MP PMT 1996; RPET 2001]
  A)
              \[\frac{{{u}^{2}}\sin \theta }{g}\]   done clear
  B)
    \[\frac{{{u}^{2}}\sin 2\theta }{2g}\] done clear
  C)
              \[\frac{{{u}^{2}}\sin 2\theta }{g}\] done clear
  D)
      \[\frac{{{u}^{2}}\cos 2\theta }{g}\] done clear
  View Solution play_arrow

• question_answer24)
  A football player throws a ball with a velocity of 50 metre/sec at an angle 30 degrees from the horizontal. The ball remains in the air for \[(g=10\,m/{{s}^{2}})\]
  A)
              2.5 sec done clear
  B)
                1.25 sec done clear
  C)
              5 sec    done clear
  D)
              0.625 sec done clear
  View Solution play_arrow

• question_answer25)
  A body of mass 0.5 kg is projected under gravity with a speed of 98 m/s at an angle of \[{{30}^{o}}\] with the horizontal. The change in momentum (in magnitude) of the body is              [MP PET 1997]
  A)
              \[24.5\,N-s\] done clear
  B)
              \[49.0\,N-s\] done clear
  C)
              \[98.0\,N-s\] done clear
  D)
                \[50.0\,N-s\] done clear
  View Solution play_arrow

• question_answer26)
  A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is                          [AIIMS 1998; DPMT 2000]
  A)
              \[{{25}^{o}}{8}'\]   done clear
  B)
              \[{{33}^{o}}{7}'\] done clear
  C)
              \[{{42}^{o}}{8}'\]   done clear
  D)
              \[R=4H\cot \theta ,\]if R=\[3H\]then \[\cot \theta =\frac{3}{4}\]Þ \[\theta =53{}^\circ 8'\] done clear
  View Solution play_arrow

• question_answer27)
  A gun is aimed at a target in a line of its barrel. The target is released and allowed to fall under gravity at the same instant the gun is fired. The bullet will                          [EAMCET 1994]
  A)
              Pass above the target   done clear
  B)
              Pass below the target done clear
  C)
              Hit the target done clear
  D)
                Certainly miss the target done clear
  View Solution play_arrow

• question_answer28)
  Two bodies are projected with the same velocity. If one is projected at an angle of \[{{30}^{o}}\] and the other at an angle of \[{{60}^{o}}\] to the horizontal, the ratio of the maximum heights reached is [AIIMS 2001; EAMCET (Med.) 1995; Pb. PMT 2000]
  A)
              3 : 1     done clear
  B)
              1 : 3 done clear
  C)
              1 : 2     done clear
  D)
              2 : 1 done clear
  View Solution play_arrow

• question_answer29)
  If the range of a gun which fires a shell with muzzle speed \[V\] is \[R\], then the angle of elevation of the gun is            [AMU 1995]
  A)
              \[{{\cos }^{-1}}\left( \frac{{{V}^{2}}}{Rg} \right)\] done clear
  B)
                \[{{\cos }^{-1}}\left( \frac{gR}{{{V}^{2}}} \right)\] done clear
  C)
              \[\frac{1}{2}\left( \frac{{{V}^{2}}}{Rg} \right)\] done clear
  D)
                \[\frac{1}{2}{{\sin }^{-1}}\left( \frac{gR}{{{V}^{2}}} \right)\] done clear
  View Solution play_arrow

• question_answer30)
  If time of flight of a projectile is 10 seconds. Range is 500 meters. The maximum height attained by it will be                                      [RPMT 1997]
  A)
              125 m done clear
  B)
                50 m done clear
  C)
              100 m done clear
  D)
                150 m done clear
  View Solution play_arrow

• question_answer31)
  If a body A of mass M is thrown with velocity V at an angle of \[{{30}^{o}}\] to the horizontal and another body B of the same mass is thrown with the same speed at an angle of \[{{60}^{o}}\] to the horizontal. The ratio of horizontal range of A to B will be                                 [CBSE PMT 1992]
  A)
              1 : 3 done clear
  B)
                1 : 1 done clear
  C)
              \[1:\sqrt{3}\]    done clear
  D)
              \[\sqrt{3}:1\] done clear
  View Solution play_arrow

• question_answer32)
  A bullet is fired from a cannon with velocity 500 m/s. If the angle of projection is \[{{15}^{o}}\] and \[g=10m/{{s}^{2}}\].  Then the range is                             [CPMT 1997]
  A)
              \[25\times {{10}^{3}}m\] done clear
  B)
                \[12.5\times {{10}^{3}}m\] done clear
  C)
              \[50\times {{10}^{2}}m\] done clear
  D)
                \[25\times {{10}^{2}}m\] done clear
  View Solution play_arrow

• question_answer33)
  A ball thrown by a boy is caught by another after 2 sec. some distance away in the same level. If the angle of projection is 30o, the velocity of projection is   [JIPMER 1999]
  A)
              19.6 m/s done clear
  B)
                9.8 m/s done clear
  C)
              14.7 m/s done clear
  D)
                None of these done clear
  View Solution play_arrow

• question_answer34)
  A particle covers 50 m distance when projected with an initial speed.  On the same surface it will cover a distance, when projected with double the initial speed   [RPMT 2000]
  A)
              100 m done clear
  B)
                150 m done clear
  C)
              200 m  done clear
  D)
              250 m done clear
  View Solution play_arrow

• question_answer35)
  A ball is thrown upwards at an angle of 60o to the horizontal.  It falls on the ground at a distance of 90 m.  If the ball is thrown with the same initial velocity at an angle 30o, it will fall on the ground at a distance of  [BHU 2000]
  A)
              30 m    done clear
  B)
              60 m done clear
  C)
              90 m    done clear
  D)
              120 m done clear
  View Solution play_arrow

• question_answer36)
  Four bodies P, Q, R and S are projected with equal velocities having angles of projection 15o, 30o, 45o and 60o with the horizontal respectively.  The body having shortest range is                 [EAMCET (Engg.) 2000]
  A)
              P          done clear
  B)
              Q done clear
  C)
              R          done clear
  D)
              S done clear
  View Solution play_arrow

• question_answer37)
  For a projectile, the ratio of maximum height reached to the square of flight time is (g = 10 ms?2)  [EAMCET (Med.) 2000]
  A)
              5 : 4 done clear
  B)
              5 : 2 done clear
  C)
              5 : 1     done clear
  D)
              10 : 1 done clear
  View Solution play_arrow

• question_answer38)
  A stone projected with a velocity u at an angle q with the horizontal reaches maximum height \[{{H}_{1}}\].  When it is projected with velocity u at an angle \[\left( \frac{\pi }{2}-\theta  \right)\] with the horizontal, it reaches maximum height \[{{H}_{2}}\].  The relation between the horizontal range R of the projectile, \[{{H}_{1}}\]and \[{{H}_{2}}\] is                                             [EAMCET 2000]
  A)
              \[R=4\sqrt{{{H}_{1}}{{H}_{2}}}\]           done clear
  B)
              \[R=4({{H}_{1}}-{{H}_{2}})\] done clear
  C)
              \[R=4({{H}_{1}}+{{H}_{2}})\] done clear
  D)
                \[R=\frac{{{H}_{1}}^{2}}{{{H}_{2}}^{2}}\] done clear
  View Solution play_arrow

• question_answer39)
  An object is projected with a velocity of 20 m/s making an angle of \[{{45}^{o}}\] with horizontal. The equation for the trajectory is\[~h=Ax\text{ }\text{ }B{{x}^{2}}\] where h is height, x is horizontal distance, A and B are constants.  The ratio A : B is  (\[~h=AxB{{x}^{2}}\])                               [EAMCET 2001]
  A)
              1 : 5     done clear
  B)
              5 : 1 done clear
  C)
              1 : 40   done clear
  D)
              40 : 1 done clear
  View Solution play_arrow

• question_answer40)
  Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long?jump event                         [AMU (Engg.) 2001]
  A)
              Speed before he jumps and his weight             done clear
  B)
              The direction in which he leaps and the initial speed done clear
  C)
              The force with which he pushes the ground and his speed done clear
  D)
              None of these done clear
  View Solution play_arrow

• question_answer41)
  A ball thrown by one player reaches the other in 2 sec.  the maximum height attained by the ball above the point of projection will be about                               [Pb. PMT 2002]
  A)
              10 m    done clear
  B)
              7.5 m done clear
  C)
              5 m done clear
  D)
              2.5 m done clear
  View Solution play_arrow

• question_answer42)
  In a projectile motion, velocity at maximum height is                                     [AIEEE 2002]
  A)
              \[\frac{u\,\cos \,\theta }{2}\] done clear
  B)
                \[u\,\cos \,\theta \] done clear
  C)
              \[\frac{u\,\sin \,\theta }{2}\]    done clear
  D)
              None of these done clear
  View Solution play_arrow

• question_answer43)
  If two bodies are projected at 30o and 60o respectively, with the same velocity, then   [JIPMER 2002; CBSE PMT 2000]
  A)
              Their ranges are same done clear
  B)
              Their heights are same done clear
  C)
              Their times of flight are same done clear
  D)
              All of these done clear
  View Solution play_arrow

• question_answer44)
  A body is thrown with a velocity of 9.8 m/s making an angle of 30o with the horizontal. It will hit the ground after a time                              [JIPMER 2001, 2002; KCET 2001]
  A)
              1.5 s     done clear
  B)
              1 s done clear
  C)
              3 s        done clear
  D)
              2 s done clear
  View Solution play_arrow

• question_answer45)
  The equation of motion of a projectile are given by x = 36 t metre and 2y = 96 t ? 9.8 t2 metre.  The angle of projection is                                         [EAMCET 2003]
  A)
              \[{{\sin }^{-1}}\left( \frac{4}{5} \right)\] done clear
  B)
                \[{{\sin }^{-1}}\left( \frac{3}{5} \right)\] done clear
  C)
              \[{{\sin }^{-1}}\left( \frac{4}{3} \right)\] done clear
  D)
                \[{{\sin }^{-1}}\left( \frac{3}{4} \right)\] done clear
  View Solution play_arrow

• question_answer46)
  For a given velocity, a projectile has the same range R for two angles of projection if t1 and t2 are the times of flight in the two cases then   [KCET 2003; AIEEE 2004]
  A)
              \[{{t}_{1}}{{t}_{2}}\propto \,{{R}^{2}}\] done clear
  B)
                \[{{t}_{1}}{{t}_{2}}\propto \,R\] done clear
  C)
              \[{{t}_{1}}{{t}_{2}}\propto \,\frac{1}{R}\] done clear
  D)
                \[{{t}_{1}}{{t}_{2}}\propto \,\frac{1}{{{R}^{2}}}\] done clear
  View Solution play_arrow

• question_answer47)
  A body of mass m is thrown upwards at an angle q with the horizontal with velocity v.  While rising up the velocity of the mass after t seconds will be                                [AMU (Engg.) 1999]
  A)
   \[\sqrt{{{(v\,\cos \,\theta )}^{2}}+{{(v\,\sin \,\theta )}^{2}}}\]   done clear
  B)
              \[\sqrt{{{(v\,\cos \,\theta -v\sin \,\theta )}^{2}}-\,gt}\] done clear
  C)
              \[\sqrt{{{v}^{2}}+{{g}^{2}}{{t}^{2}}-(2\,v\,\sin \,\theta )\,gt}\]         done clear
  D)
              \[\sqrt{{{v}^{2}}+{{g}^{2}}{{t}^{2}}-(2\,v\,\cos \,\theta )\,gt}\] done clear
  View Solution play_arrow

• question_answer48)
  A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards.  The maximum height attained by the ball is                                 [UPSEAT 2002]
  A)
              100 m done clear
  B)
                80 m done clear
  C)
              60 m    done clear
  D)
              50 m done clear
  View Solution play_arrow

• question_answer49)
  A cricketer can throw a ball to a maximum horizontal distance of 100 m.  The speed with which he throws the ball is (to the nearest integer)                 [Kerala (Med.) 2002]
  A)
              \[30m{{s}^{1}}\] done clear
  B)
                \[42m{{s}^{1}}\] done clear
  C)
              \[32m{{s}^{1}}\] done clear
  D)
                \[35m{{s}^{1}}\] done clear
  View Solution play_arrow

• question_answer50)
  A ball is projected with velocity \[{{V}_{o}}\] at an angle of elevation 30°. Mark the correct statement                     [MP PMT 2004]
  A)
              Kinetic energy will be zero at the highest point of the trajectory done clear
  B)
            Vertical component of momentum will be conserved done clear
  C)
              Horizontal component of momentum will be conserved done clear
  D)
              Gravitational potential energy will be minimum at the highest point of the trajectory done clear
  View Solution play_arrow

• question_answer51)
  Neglecting the air resistance, the time of flight of a projectile is determined by                                    [J & K CET 2004]
  A)
              \[{{U}_{vertical}}\] done clear
  B)
            \[{{U}_{horizontal}}\] done clear
  C)
              \[U={{U}^{2}}_{vertical}+{{U}^{2}}_{horizontal}\] done clear
  D)
              \[U=U\,{{({{U}^{2}}_{vertical}+{{U}^{2}}_{horizontal})}^{1/2}}\] done clear
  View Solution play_arrow

• question_answer52)
  A ball is thrown from a point with a speed \[{{v}_{o}}\] at an angle of projection \[\theta \]. From the same point and at the same instant a person starts running with a constant speed \[{{v}_{o}}/2\] to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection           [AIEEE 2004]
  A)
              Yes, \[{{60}^{o}}\] done clear
  B)
              Yes, \[{{30}^{o}}\] done clear
  C)
              No       done clear
  D)
              Yes, \[{{45}^{o}}\] done clear
  View Solution play_arrow

• question_answer53)
  A stone is thrown at an angle \[\theta \]to the horizontal reaches a maximum height H. Then the time of flight of stone will be                                     [BCECE 2004]
  A)
              \[\sqrt{\frac{2H}{g}}\]           done clear
  B)
              \[2\,\sqrt{\frac{2H}{g}}\] done clear
  C)
              \[\frac{2\sqrt{2H\,\sin \theta }}{g}\] done clear
  D)
                \[\frac{\sqrt{2H\,\sin \theta }}{g}\] done clear
  View Solution play_arrow

• question_answer54)
  The horizontal range of a projectile is \[4\sqrt{3}\] times its maximum height. Its angle of projection will be [J & K CET 2004; DPMT 2003]
  A)
              \[{{45}^{o}}\]          done clear
  B)
            \[{{60}^{o}}\] done clear
  C)
              \[{{90}^{o}}\]          done clear
  D)
              \[{{30}^{o}}\] done clear
  View Solution play_arrow

• question_answer55)
  A ball is projected upwards from the top of tower with a velocity \[50\,\,m{{s}^{-1}}\] making an angle \[{{30}^{o}}\] with the horizontal. The height of tower is 70 m. After how many seconds from the instant of throwing will the ball reach the ground                                     [DPMT 2004]
  A)
              2 s        done clear
  B)
            5 s done clear
  C)
              7 s        done clear
  D)
              9 s done clear
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• question_answer56)
  Two bodies are thrown up at angles of 45o and 60o, respectively, with the horizontal. If both bodies attain same vertical height, then the ratio of velocities with which these are thrown is                                [DPMT 2005]
  A)
              \[\sqrt{\frac{2}{3}}\]  done clear
  B)
              \[\frac{2}{\sqrt{3}}\] done clear
  C)
                          \[\sqrt{\frac{3}{2}}\]  done clear
  D)
                          \[\frac{\sqrt{3}}{2}\] done clear
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• question_answer57)
  At what point of a projectile motion acceleration and velocity are perpendicular to each other           [Orissa JEE 2005]
  A)
              At the point of projection done clear
  B)
              At the point of drop done clear
  C)
              At the topmost point done clear
  D)
              Any where in between the point of projection and topmost point done clear
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• question_answer58)
  An object is projected at an angle of 45° with the horizontal. The horizontal range and the maximum height reached will be in the ratio.                         [Kerala PET 2005]
  A)
                          1 : 2               done clear
  B)
                          2 : 1             done clear
  C)
              1 : 4     done clear
  D)
              4 : 1 done clear
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• question_answer59)
  The maximum horizontal range of a projectile is 400 m. The maximum value of height attained by it will be                                     [AFMC 2005]            
  A)
                          100 m            done clear
  B)
                          200 m             done clear
  C)
                          400 m              done clear
  D)
                          800 m done clear
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