MEDIUM
JEE Advanced
IMPORTANT
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A balloon starts rising upwards with constant acceleration a and after time t0 second, a packet is dropped from it which reaches the ground after t seconds of dropping. Determine the value of t .

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Important Questions on Kinematics I

HARD
JEE Advanced
IMPORTANT

(a) Show that the velocity acquired by a particle in sliding down an inclined plane is the same as that acquired by a particle falling freely from rest through a distance equal to the height of the inclined plane.

(b) Find the time taken in sliding a particle down the whole length of the incline.

MEDIUM
JEE Advanced
IMPORTANT

Ball 1 is released from the top of a smooth inclined plane, and at the same instant ball 2 is projected from the foot of the plane with such a velocity that they meet halfway up the incline. Determine:

(a) the velocity with which balls are projected and

(b) the velocity of each ball when they meet.

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EASY
JEE Advanced
IMPORTANT

Mark the following statements as true or false. 

(a) (i) A ball thrown vertically up takes more time to go up than to come down. 

(ii) If a ball starts falling from the position of rest, then it travels a distance of 25 m during the third second of its fall

(iii) A packet dropped from a rising balloon first moves upwards and then moves downward as observed by a stationary observer on the ground.

(iv) In the absence of air resistance, all bodies fall on the surface of earth at the same rate.

EASY
JEE Advanced
IMPORTANT

A ball thrown up from the ground reaches a maximum height of 20 m. Find:

(a) Its initial velocity.

(b) The time taken to reach the highest point.

(c)  Its velocity just before hitting the ground. 

(d) Its displacement between 0.5 s and 2.5 s.

(e) The time at which it is 15 m above the ground.

MEDIUM
JEE Advanced
IMPORTANT
A body is projected from the bottom of a smooth inclined plane with a velocity of 20 m s-1. If it is just sufficient to carry it to the top in 4 s then find the inclination and height of the plane.
 
MEDIUM
JEE Advanced
IMPORTANT

A ball is dropped from an elevator at an altitude of 200 m. How much time will the ball take to reach the ground if the elevator is

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(a) Stationary?

(b) Ascending with velocity 10 m s-1?

(c) Descending with velocity 10 m s-1

MEDIUM
JEE Advanced
IMPORTANT
A balloon rises from rest on the ground with constant acceleration g8. A stone is dropped from the balloon when the balloon has risen to a height of H. Find the time taken by the stone to reach the ground. 
MEDIUM
JEE Advanced
IMPORTANT
A parachutist, after bailing out, falls 50 m without friction. When the parachute opens, it decelerates at 2 m s-2. He reaches the ground with a speed of 3 m s-1. At what height did he bailout?