   Chapter 3.1, Problem 3.4QQ

Chapter
Section
Textbook Problem

Suppose you are carrying a ball and running at constant velocity on level ground. You wish to throw the ball and catch it as it comes back down. Neglecting air resistance, should you (a) throw the ball at an angle of about 45° above the horizontal and maintain the same speed, (b) throw the ball straight up in the air and slow down to catch it, or (c) throw the ball straight up in the air and maintain the same speed?

To determine
How the ball must be thrown so that the ball can be caught while running with a constant velocity.

Explanation

Projectile motion is when a body thrown upwards has an independent horizontal velocity and vertical velocity. The horizontal velocity of a projectile motion does not change. It will remain the same as the initial velocity of the body.

Conclusion:

If the runner throws the ball straight up, for a stationary observer, the motion of the ball is parabolic, with the same speed as the velocity of the runner. As the horizontal velocity doesn’t change for the runner, the motion of the ball is straight up and comes straight down...

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