Time to reach maximum height = T/2 = 4.4/2 = 2.2 s

**(a) **

Maximum height, H_{max}

$\begin{array}{rcl}{\mathbf{H}}_{\mathbf{m}\mathbf{a}\mathbf{x}}& \mathbf{=}& \frac{\mathbf{1}}{\mathbf{2}}\mathbf{g}{\mathbf{t}}^{\mathbf{2}}\\ & \mathbf{=}& \frac{\mathbf{1}}{\mathbf{2}}\mathbf{(}\mathbf{9}\mathbf{.}\mathbf{81}\mathbf{)}{\mathbf{(}\mathbf{2}\mathbf{.}\mathbf{2}\mathbf{)}}^{\mathbf{2}}\end{array}$

A football is kicked straight up into the air; it hits the ground 4.4s later.

(a) What was the greatest height reached by the ball?

(b) Assume it is kicked from ground level. With what speed did it leave the kicker's foot?

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Based on our data, we think this problem is relevant for Professor Westerberg's class at City College of San Francisco.