Chapter 2, Problem 32P

A diver jumps off a diving board 2.0 m above the water with an initial vertical velocity of 0.981 m/s as shown in Fig. P2.32. The height h (t ) above the water is given by

$h\left(t\right)=4.905t^2+0.981t+2.0m$.

(a) Find the time in seconds when the diver hits the water. Use both the quadratic formula and completing the square.

(h) Find the maximum height of the diver if it is known to occur at $t=0.1s$.

(c) Use the results of parts (a) and (b) to sketch the height h (t ) of the diver.