
A ball is dropped from a tower. In the last second of its motion, it travels a distance of . Find the height of the tower. [Take

Important Questions on Kinematics
A toy plane starts flying from point along a straight horizontal line above ground level starting with zero initial velocity and acceleration as shown. At the same instant, a man throws a ball vertically upwards with an initial velocity . Ball touches (coming to rest) the base of the plane at point of the plane's journey when it is vertically above the man. is the distance of point from point . Just after the contact of the ball with the plane, the acceleration of the plane increases to . Find,
(i) The initial velocity of the ball.
(ii) Distance .
(iii) Distance between man and plane when the man catches the ball back. (Neglect the height of a man.)

For a particle moving along -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 to .

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

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




