Sketch a velocity -time graph of a ball dropped to the ground and caught when it bounces up again.

Answer 1

The velocity-time graph of a ball dropped to the ground and caught when it bounces up again would look like a series of parabolic curves.

Initially, the ball would have a positive velocity as it falls towards the ground. When it hits the ground, its velocity abruptly changes direction and becomes negative as it bounces back up. The velocity would gradually decrease until it reaches its highest point, then it would start falling back down towards the ground.

The graph would have three main phases: a downward slope as the ball falls towards the ground, a sharp change in direction at the bounce point, and an upward slope as the ball bounces back up. Each of these phases would be represented by a parabolic curve on the velocity-time graph.