Chapter 2.3, Problem 25P

A skydiver weighing $180$ lb (including equipment) fallsvertically downward from an altitude of $5,000$ ft and opens the parachute after $10$ s of free fall. Assume that the force of air resistance is $0.75\left|v\right|$ when the parachute is closed and $12\left|v\right|$ when the parachute is open, where the velocity $v$ ismeasured in feet per second.

Find the speed of the skydiver when the parachute opens.

Find the distance fallen before the parachute opens.

What is the limiting velocity $v_L$ after the parachuteopens?

Determine how long the skydiver is in the air after theparachute opens.

Plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.