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question_answer1) The ADCL IIT Foundation conference theatre of a school is 15 m wide and has a door at a comer. A teacher enters at 8.00 am through the door and makes 10 rounds along the 15 m wall back and forth during the period and finally leaves the class-room at 9.30 a.m. through the same door. Compute his average speed and average velocity.
question_answer2) A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. What is the average speed of the particle?
question_answer3) A car travels 30 km at a uniform speed of 40 km/h and the next 30 km at a uniform speed of 20 km/h. Find its average speed. (a) 35 km/h (b) 40 km/h (c) 22 km/h (d) 26.6 km/h
question_answer4) A body A starts from rest with an acceleration \[{{a}_{1}}\]After two seconds, another body B starts from rest with an acceleration\[{{a}_{2}}\]. If they travel equal distance in the 5th second after the start of A, then find the ratio\[{{a}_{1}}:{{a}_{2}}\].
question_answer5) A bus is beginning to move with an acceleration of\[\text{1}\,\text{m}/{{\text{s}}^{\text{2}}}\]. A boy who is 48 m behind the bus starts running at 10 m/s. After what time will the boy be able to catch the bus?
question_answer6) A train is moving along a straight path with uniform acceleration. Its engine passes across a pole with a velocity of 60 km/h and the end (guard's van) passes across same pole with a velocity of 80 km/h. With what velocity does the middle part of the train pass the same pole.
question_answer7) A truck starts from rest with an acceleration of\[\text{1}.\text{5metre}/\text{se}{{\text{c}}^{\text{2}}}\]while a car 150 metre behind starts from rest with an acceleration of\[\text{2metre}/\text{se}{{\text{c}}^{\text{2}}}\]. How long will it take before both the truck and car are side by side, and how much distance is travelled by each?
question_answer8) A train starts from rest and moves with a constant acceleration of\[\text{2}.0\text{m}/{{\text{s}}^{\text{2}}}\] for half a minute. The brakes are then applied and the train comes to rest in one minute. Find (a) the total distance moved by the train, (b) the maximum speed attained by the train and (c) the position(s) of the train at half the maximum speed.
question_answer9) A driver takes 0.20s to apply the brakes after he sees a need for it. This is called the reaction time of the driver. If he is driving a car at a speed of 54km/h and the brakes cause a deceleration of \[\text{6}.0\text{m}/{{\text{s}}^{\text{2}}}\], Find the distance travelled by the car after he sees the need to put the brakes on.
question_answer10) A car travelling at 60 km/h overtakes another car travelling at 42 km/h. Assuming each car to be 5.0 m long, find the time taken during the overtake and the total road distance used for the overtake.
question_answer11) A toy rocket leaves the ground with zero initial velocity and accelerates for 5s at\[\text{2 m}/{{\text{s}}^{\text{2}}}\]. The fuel is finished at this moment and it continues to move up till its velocity becomes zero. Find the total time for which it is in the air before returning to the ground.
question_answer12) Two men leave a place with an interval oft between them. They arrive at one end of a bridge of length L with time interval of T and reach the other end of the bridge at the same time. How far is the nearer end of the bridge from their starting point? Assume that they are moving with uniform speeds.
question_answer13) A car traveling at a certain speed\[{{v}_{1}}\]overtakes another car travelling at a slower speed\[{{v}_{2}}\]at A. An hour later the faster car reverses its direction, changes it's speed to\[{{v}_{3}}\]and after some time meets the slower car now coming in the opposite direction at position B. The distance between the positions A and B is 10 km. Find the speed of the slower car if\[{{V}_{1}}-{{V}_{2}}={{V}_{3}}+{{V}_{2}}\]
question_answer14) The following figure shows the position of a particle moving on the X-axis as a function of time. How many times the particle has came to rest?
question_answer15) The velocity-time plot for a particle moving on a straight line is shown in figure. (a) The particle has a constant acceleration (b) The particle has never turned around. (c) The particle has zero displacement. (d) The average speed in the interval 0 to 10s is the same as the average speed in the interval 10s to 20s. Which of the above statements are correct? (a) only c is correct (b) only b is correct (c) both a & d are correct (d) none of these
question_answer16) The displacement - time graph is shown below From the graph match the following given below List - A List - B (i) Velocity along AB (a)\[\text{1}.\text{25 m}{{\text{s}}^{-\text{1}}}\] (ii) Velocity along DE (b) Zero (iii) Average velocity along CE (c)\[-\text{7}.\text{5 m}{{\text{s}}^{-\text{1}}}\] (d)\[\text{2}.\text{1m}{{\text{s}}^{-\text{1}}}\]
question_answer17) From the graph given below find the average velocity between 10s and 30s.
question_answer18) From the given graph, find the distance covered in the region ABCE.
question_answer19) Figure shows x-t graph of a particle. What is the time t such that average velocity of the particle during the period 0 to t is zero.
question_answer20) A cyclist covers a certain distance in 50 minutes riding his bicycle at a certain speed and in 40 minutes riding at a faster speed. If he rides his bicycle changing his speed from lower to higher speed every ten minutes, how long would he take to cover the distance. Consider both the cases that arise. Assume that the motion of the cyclists is uniform.
question_answer21) Large number of identical blocks are placed on a surface with adjacent blocks d apart. The left most block is imparted a velocity V to the right. On striking its neighbor it comes to rest and the struck block takes off at 0.8 V. This process repeats. What is the time interval between the third and the fourth hits? Assume that the motion between the hits is uniform. Neglect the duration of collision.
question_answer22) Two cars are 60 km away from each other and are moving towards each other at 116 km/h and 184 km/ h. How far are they from each other one and half minutes before their collision?
question_answer23) Two stones are released from rest one from a height of 20 m and another from some unknown height above the ground. One of the stones hits the ground 1s after the other strikes the ground. The height from which the second stone is released can have values of______. \[(~\text{g}=\text{1}0\text{ m}{{\text{s}}^{-\text{2}}})\]
question_answer24) A police jeep is chasing a culprit going a motorbike. The motorbike crosses a turning at a speed of 72 km/h. The jeep follows it at a speed of 90 km/h, crossing the turning ten seconds later than the bike. Assuming that they travel at constant speeds, how far from the turning will the jeep catch up with the bike?
question_answer25) The acceleration of a car started at t - 0, varies with time as shown in figure. What is the distance travelled in 30 seconds?
question_answer26) Figure shows the graph of velocity versus time for a particle going along the x-axis. What is (a) the acceleration, (b) the distance travelled in 0 to 10s and (c) the displacement in 0 to 10s.
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