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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

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Important Questions on Motion in a Straight Line

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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

MEDIUM
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
EASY
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
MEDIUM
JEE Main/Advance
IMPORTANT
A ball is dropped from rest at a height h from the ground. If it travels a distance of 9h25  in its last second of motion, then value of h is g=10 m s-2
MEDIUM
JEE Main/Advance
IMPORTANT
A large wooden raft is flowing with a river stream. A man on the raft dives into river and swims down the stream for 15 minutes and then he turns about and comes back to the raft. The swimming speed of man is 5 km h-1 in still water and the river is flowing with speed 4 km h-1. The distance moved by the raft till the man comes back to raft is
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JEE Main/Advance
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Graph of  1V versus x for a particle under motion is shown in figure, where v is velocity and x is position. Find the time taken by particle to move from x=4 m to x=12 m.

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MEDIUM
JEE Main/Advance
IMPORTANT
A particle is at rest at t=0. If acceleration of the particle is given as a=sinπt+cosπt, in SI units, then the maximum speed of particle is