Chapter 8.1, Problem 45PE

(a)

To determine

To calculate: Solution of the system of linear equation involved $a,v_0\text{ and }{s}_0$ where the position function is, $s\left(t\right)=\frac{1}{2}a{t}^2+v_{0}t+s_0$.

(b)

To determine

To calculate: The value of $s\left(3.5\right)$ and identify the solution on graph where the position function is, $s\left(t\right)=\frac{1}{2}a{t}^2+v_{0}t+s_0$.

(c)

To determine

To calculate: The maximum height of the ball and time after which height is maximum where the position function is, $s\left(t\right)=\frac{1}{2}a{t}^2+v_{0}t+s_0$.