Question

20.

A soccer ball is kicked upward from the ground with a speed of 96 feet per second. Its height h, in feet, after t seconds is given by the equation h(t) = -16² +96t.
HCL many seconds will it take the soccer ball to reach its maximum height?

Answer 1

After 3 seconds

Explanation:

Given

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

Required

Seconds to attain maximum height

The maximum of a quadratic function
`y = ax^2 + bx + c` is calculated using:

`x = -(b)/(2a)`

So, we have:

`t = -(b)/(2a)`

Where:

`a = -16` and
`b = 96`

So:

`t = -(96)/(2 * -16)`

`t = -(96)/(-32)`

Cancel out negatives

`t = (96)/(32)`

`t = 3`