MEDIUM
NEET
IMPORTANT
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A particle is thrown vertically upwards. Its velocity, at half of the maximum height, is . The maximum height attained by the body is
(a)
(b)
(c)
(d)

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Important Questions on Motion in a Straight Line
MEDIUM
NEET
IMPORTANT
A body starts falling from height and travels a distance , during last second of its motion. Then, the time it takes in free fall is(in seconds).

MEDIUM
NEET
IMPORTANT
A stone falls freely such that, the distance covered by it in the last second of its motion is equal to the distance covered by it in the first . It remained in the air for

MEDIUM
NEET
IMPORTANT
When a ball is thrown vertically up with velocity , it reaches a maximum height of . If one wishes to triple the maximum height, then the ball should be thrown with velocity

EASY
NEET
IMPORTANT
A bus accelerates from rest, for time , at a constant rate and then retards at a constant rate , for time , and comes to rest. Then is

MEDIUM
NEET
IMPORTANT
The engine of a train passes an electric pole with a velocity and the last compartment of the train crosses the same pole with a velocity . Then, the velocity with which the mid-point of the train passes the pole is

HARD
NEET
IMPORTANT
A student is standing at a distance of behind a bus. As soon as the bus begins its motion with an acceleration of , the student starts running towards the bus with a uniform velocity . Assuming the motion to be along straight road, the minimum value of , so that the student is able to catch the bus, is

HARD
NEET
IMPORTANT
From a tower of height , a particle is thrown vertically upwards with speed . The time taken by the particle to hit the ground is times than that taken by it to reach the highest point of its path. The relation between and is

MEDIUM
NEET
IMPORTANT
A bus starts from rest moving with an acceleration of . A cyclist behind the bus starts simultaneously towards the bus at . After what minimum time he will be able to overtake the bus?
