Chapter 2.3, Problem 23P

Assume that conditions are as Problem $22$ except that there is a force due to air resistance is $\frac{\left|v\right|}{30}$, where the velocity $v$ is measured in meters per second.

Find the maximum height above the ground that the ball reaches.

Find the time that the ball it hits the ground.

Plot the graphs of velocity and position versus time. Compare these graphs with the corresponding ones in Problem $22$.

A ball with mass $0.25$ kg is thrown upward with initial velocity $24$ m/s from the roof of building 26 m high. Neglect air resistance.

Find the maximum height above the ground that the ball reaches.

Assuming that the ball misses the building on the way down, find the time that it hits the ground.

Plot the graphs of velocity and position versus time.