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Figure shows the graphical variation of displacement with time for the case of a particle moving along a straight line. The accelerations of the particle during the intervals OAABBC and CD are respectively

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Important Questions on Motion in a Straight Line

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The displacement of a particle undergoing rectilinear motion along the x-axis is given by x=(2t3+21t2+60t+6). The acceleration of the particle when its velocity is zero is
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A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
MEDIUM
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A balloon is ascending at the rate of 14 ms-1at a height of  98 m above the ground when a packet is dropped from the balloon. After how much time and with what velocity does it reach the ground?
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A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball after T3seconds?
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A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms-1 to 20 ms-1 while passing through a distance 135 m In t second. The value of t is:
MEDIUM
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A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 s is S1 and that covered in first 20 s is S2 then
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A bus accelerates from rest, for time t1, at a constant rate α and then retards at a constant rate β, for time t2, and comes to rest. Then t1t2 is
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A car moving along a straight road with speed of 144 km h-1 is brought to a stop within a distance of 200 m. How long does it take for the car to stop?