If you toss a ball from the top of the Tower of Pisa directly upward with an initial speed of \(96 \mathrm{ft} / \mathrm{s}\), the height \(h\) at time \(t\) is given by

\[h(t)=-16 t^{2}+96 t+176\]

Figure 18.22 shows \(h\) and the velocity, \(v\), at various times, \(t\).

a. What is the height of the tower?

b. Find the velocity as a function of time.

Figure 18.22

Transcribed Image Text:

1=0 h = 176 v = 96 t = 3 h = 320 v=0 176 ft 1 = 7.5 h = 0 v=-143