Question

The height of a soccer ball is kicked from the ground can be approximately by the function.

y = -16x^2 + 32x

where y is the height of the soccer ball in feet x seconds after it is kicked. Find the time it takes to reach soccer ball to reach its maximum height in seconds​

Answer 1

1 second

Explanation:

y = -16x² + 32x

y = -16(x² - 2x)

y = -16(x² - 2(x)(1) + 1² - 1²)

y = -16(x - 1)² + 16

Max height is when (x-1) = 0

So x = 1