Chapter 1.5, Problem 39PE

For Exercises 39–42, use the model $s=-\frac{1}{2}g{t}^2+v_{0}t+s_0$

with $g=32{\text{ ft/sec}}^2$

or $g=9.8{\text{ m/sec}}^2$

. (See Example 3)

NBA basketball legend Michael Jordan had a 48-in. vertical leap. Suppose that Michael jumped from ground level with an initial velocity of 16 ft/sec.

a. Write a model to express Michael’s height (in ft) above ground level t seconds after leaving the ground.

b. Use the model from part (a) to determine how long it would take Michael to reach his maximum height of 48 in. $\left(\text{4 ft}\right)$.