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question_answer1) A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward, and so on. Each step is 1 m long and required 1 second to cover. How long (in sec) the drunkard takes to fall in a pit 13 m away from the start?
question_answer2) For the motion of a particle, velocity v depends on displacement x as\[v=20/\left( 3x-2 \right)\]. If at \[t=0,\text{ }x=0\] then at what time t (in sec), the \[x=20\]?
question_answer3) If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much (in cm) will it penetrate more before coming to rest?
question_answer4) A stone thrown vertically up with a speed u reaches a height 40 m. If the same stone is thrown upward with a speed of 2u. It reaches a height equal to (in m)
question_answer5) A motor car covers 1/3rd part of total distance with \[{{v}_{1}}=10\,\,km/hr,\] second 1/3rd part with \[{{v}_{2}}=20\,km/hr\] and rest 1/3rd part with \[{{v}_{3}}=60\,km/hr\]. What is the average speed of the car? (in km/hr)
question_answer6) The variation of velocity of a particle moving along straight line is shown in figure. The distance traversed by the body in 4 seconds in (in m)?
question_answer7) A body thrown up with a finite speed is caught back after 4 sec. The speed of the body with which it is thrown up is (in m/s)
question_answer8) Two trains each of length 50 m are approaching each other on parallel rails. Their velocities are 10 m/sec and 15 m/sec. They will cross each other (in sec)?
question_answer9) A car, moving with a speed of 50 km/hr, he can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is (in m)?
question_answer10) A rocket is fired vertically up from the ground. It moves upwards with a constant acceleration \[10\,\,m/{{s}^{2}}\] for 30 seconds after which the fuel is consumed. After what time (in sec) from the instant of firing, the rocket will attain the maximum height? Take \[g=10m/{{s}^{2}}\]
question_answer11) A man in a balloon rising vertically with an acceleration of \[4.9\,\,m/{{\sec }^{2}}\], releases a ball 2 seconds after the balloon is let go from the ground. The greatest height above the ground reached by the ball is (in m)?
question_answer12) The water falls at regular intervals from a tap 5 m above the ground. The third drop is leaving at instant, the first drop touches the ground. How far above the ground is the second drop at that instant (in m)?
question_answer13) The vertical height of P above the ground is twice that of Q. A particle is projected downward with a speed of \[9.8\,\,m/s\] from P and simultaneously another particle is projected upward with the same speed of \[9.8\,\,m/s\] from Q. Both particles reach the ground simultaneously. The time taken to reach the ground is (in see)?
question_answer14) The velocity of a particle moving on the x-axis is given by \[v={{x}^{2}}+x\] where v is in m/s and \[x\] is in m. Find its acceleration in \[m/{{s}^{2}}\] when passing through the point \[x=2\,m\].
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