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Which graph represents constant positive acceleration?

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Important Questions on Motion in a Straight Line

MEDIUM
JEE Main/Advance
IMPORTANT

The acceleration-time graph of a particle is as shown. At what time the particle acquires its initial velocity?

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MEDIUM
JEE Main/Advance
IMPORTANT
A particle travels half the distance of a straight journey with a speed 5 m s-1. The remaining part of the distance is covered with speed 6 m s-1 for half the remaining time, and with speed 4 m s-1 for the other half of the remaining time. The average speed of the particle is n m s-1. The value of n is
HARD
JEE Main/Advance
IMPORTANT
A stone is dropped from the top of a tower and travels 24.5 m in the last second of its journey. The height of the tower is n m.. The value of nis
MEDIUM
JEE Main/Advance
IMPORTANT
A body starts from rest with an acceleration 2 m s-2 till it attains the maximum velocity then retards to rest with 3 m s-2. If total time taken is 10 second, then maximum speed attained is n m s-1. The value of nis
EASY
JEE Main/Advance
IMPORTANT
A body is thrown vertically upward with velocity u. The distance travelled by it in the 7th  and 8th  seconds are equal. The displacement in 8th  seconds is equal to $n \mathrm{~m}$. The value of n is (take g=10 m s-2 )
HARD
JEE Main/Advance
IMPORTANT

A particle starts from rest. Its acceleration is varying with time as shown in the figure. When the particle comes to rest, its distance from its starting point is n m. The value of n is

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MEDIUM
JEE Main/Advance
IMPORTANT
Two particles P and Q are initially 40 m apart P behind Q. Particle P starts moving with a uniform velocity 10 m s-1 towards Q. Particle Q starting from rest has an acceleration 2 m s-2 in the direction of velocity of P.Then the minimum distance between P and Q will be n m. The value of n is
EASY
JEE Main/Advance
IMPORTANT
The position x of a particle varies with time as x=at2-bt3. The acceleration of particle is zero at time t  equal to anb. The value of n is