Chapter 11.1, Problem 96E

(a)

To determine

To calculate: The formula for the value of t when $h^{\prime }\left(t\right)=0$ where height of a basketball thrown by Chris Paul on Neptune is given by function $h\left(t\right)=v_{o}t-5.6t^2$ meters and t is time in seconds after he throws the ball up at $v_0$ m/sec.

(b)

To determine

To calculate: The speed of the ball with which Chris Paul needs to throw the ball up so that the highest point is reached in half a second where height of a basketball thrown by Chris Paul on Neptune is given by function $h\left(t\right)=v_{o}t-5.6t^2$ meters and t is time in seconds after he throws the ball up at $v_0$ m/sec. Also calculate the new highest distance of the ball.