Question

You drop a ball from a height of 32 feet. The function h=-16x^2+32 gives the height h(in feet) of the ball after x seconds. When does it hit the ground?

Answer 1

the ball hits the ground after √2 seconds or roughly 1.4 seconds

Explanation:

the ball hits the ground when h is equal to 0

0 = -16x^2 + 32

subtract 32 from each side

-32 = -16x^2

divide each side by -16

2 = x^2

find the square root of each side

√2 = x or -√2 = x

x cannot be negative because it represents time passed

√2 = x