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The acceleration-position graph of a particle moving in a straight line along x-axis is shown in figure. The particle starts from rest at origin. The maximum speed of particle is

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Important Questions on Motion in a Straight Line

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JEE Main/Advance
IMPORTANT

The acceleration-time graph of a particle moving in a straight line along x-axis is given below. If initial velocity of the particle is 4 m s-1, then velocity at t=2 s is

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JEE Main/Advance
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The position of a particle moving in a straight line along x-axis varies with time t as x=12t-3t2m, where t is in seconds. The distance covered by particle in first 5 s is
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JEE Main/Advance
IMPORTANT
Two cars are moving towards each other on a straight road with accelerations 5 m s-2 and 15 m s-2. At a certain instant, their separation is 400 m and their velocities are10 m s-1 and 20 m s-1. How long will it take for the cars to collide ?
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JEE Main/Advance
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A ball is projected vertically upwards. If it covers equal distances in 4th  and 7th  second, then velocity of projection is g=10 m s-2
MEDIUM
JEE Main/Advance
IMPORTANT
A particle moving in a straight line covers the first half of distance with speed of 12 m s-1 and the other half of the distance in two equal time intervals with speed of 18 m s-1 and 30 m s-1 respectively. The average speed of particle during motion is
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JEE Main/Advance
IMPORTANT

A boat goes from point  A to B downstream of a river flowing with speed  6 km h-1 and then comes back to point A. If time taken in upstream journey is double of that in downstream journey then speed of boat in still water is

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JEE Main/Advance
IMPORTANT
From a height, two balls are thrown with equal speed, one vertically upwards and other vertically downwards. They take time t1 and t2 respectively to reach the ground. If a third ball is dropped from same height, then time taken to reach the ground will be
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JEE Main/Advance
IMPORTANT
A particle moves in a straight line such that its acceleration a varies with speed v as a=-2v m s-2, where v is measured in m s-1. If initial velocity is 4 m s-1, then time taken by the particle to come to stop is