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The displacement of a particle moving with uniform acceleration in time t is given by S=30t+5t2, its initial velocity is _____

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Important Questions on Kinematics

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A ball is projected vertically up from ground. Boy 'A' standing at the window of first floor of a nearby building observes that the time interval between the ball crossing him while going up and the ball crossing him while going down is 2 s. Another boy B standing on the second floor notices the time interval between the ball passing him twice, during up and down motion is 1 s. Calculate the difference between the vertical positions of boy B and boy A. (Assume g=10 m s-2)
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An aircraft is moving with uniform velocity 150 m s-1  in the space. If all forces acting on it are balanced, then it will
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A particle shows the distance-time curve as shown in the figure. The maximum instantaneous velocity of the particle is around the point.

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A car accelerates from rest at a constant rate α for some time, after which it decelerates at a constant rate β and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is

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The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is :

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The equation of motion of a body is, dv(t)dt=9-3vt where, v(t) is the speed (in m s-1) at time t (in second). If the body was at rest at t=0, then which of the following is correct?
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At t=0 s,  an object at origin has a velocity v=(2i^+4j^) m s-1.. If it is acted upon by an acceleration a=(i^-3j^) m s-2 for a duration of 6 seconds, find its coordinates at the end of t=6 seconds.