Question

Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?

Answer 1

(d)

Explanation:

Given

`h(t) = -16t^2 + 96t`

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

`x = (0,0)` and
`x = (6,0)`

These represent the start and end of the ball that is launched.

Hence, (d) is true