Question

A soccer ball is kicked vertically from the ground with an initial velocity of 96 ft/sec.

Answer 1

Answer:

h(t) = - 16t² + 96t

Step-by-step explanation:

A soccer ball is kicked vertically from the ground with an initial velocity of 96 ft/sec.

So, it initial height, $h_0 = 0$ ft. and initial velocity $v_0 = 96$ feet/sec.

Now, the quadratic function, h(t), that shows the height, in feet, of the soccer ball, t seconds after it was kicked will be given by the general equation

$h(t) = - 16t^{2} + v_0t + h_0$

⇒ h(t) = - 16t² + 96t + 0

⇒ h(t) = - 16t² + 96t (Answer)