MEDIUM
JEE Main/Advance
IMPORTANT
Earn 100

A ball is dropped from a tower. In the last second of its motion, it travels a distance of 15 m. Find the height of the tower. [Takeg=10 m sec-2

Important Questions on Kinematics

MEDIUM
JEE Main/Advance
IMPORTANT

A toy plane P starts flying from point A along a straight horizontal line 20 m above ground level starting with zero initial velocity and acceleration 2 m s-2 as shown. At the same instant, a man P throws a ball vertically upwards with an initial velocity u. Ball touches (coming to rest) the base of the plane at point B of the plane's journey when it is vertically above the man. S is the distance of point B from point A. Just after the contact of the ball with the plane, the acceleration of the plane increases to 4 m s-2. Find,

Question Image

(i) The initial velocity u of the ball.
(ii) Distance S.
(iii) Distance between man and plane when the man catches the ball back. g=10 m s-2 (Neglect the height of a man.)

EASY
JEE Main/Advance
IMPORTANT

For a particle moving along x-axis, the velocity-time graph is as shown in the figure. Find the distance travelled and displacement of the particle. Also, find the average velocity of the particle in interval 0 to 5 s.

Question Image

HARD
JEE Main/Advance
IMPORTANT

A cart started at t=0, its acceleration varies with time as shown in the figure. Find the distance travelled in 30 seconds and draw the position-time graph.

Question Image

HARD
JEE Main/Advance
IMPORTANT

Two particles A and B start from rest and move for equal time on a straight line. The particle A has an acceleration a for the first half of the total time and 2a for the second half. The particle B has an acceleration 2a for the first half and a for the second half. Which particle has covered a larger distance?

HARD
JEE Main/Advance
IMPORTANT
A tiger running 100 m race, accelerates for one-third time of the total time and then moves with uniform speed. Then find the total time taken by the tiger to run 100 m if the acceleration of the tiger is 8 m s-2.
EASY
JEE Main/Advance
IMPORTANT
A hall has the dimensions of 10 m×10 m×10 m. A fly starting at one corner ends up at the farthest corner. The magnitude of its displacement is,
MEDIUM
JEE Main/Advance
IMPORTANT
A car travels from A to B at a speed of 20 km h-1 and returns at a speed of 30 km h-1. The average speed of the car for the whole journey is:
 
MEDIUM
JEE Main/Advance
IMPORTANT
A person travelling on a straight line without changing direction moves with a uniform speed v1 for half distance and next half distance he covers with uniform speed v2. The average speed v is given by