Question

Suppose h(t) = -0.2t2 + 2t models the height, in feet, of a ball that is kicked into the air where t is

given as time, in seconds.
How many seconds until it reaches max height?
What is the maximum height in feet?
How many seconds until the ball hits the ground?

Answer 1

Step-by-step explanation:This function is a parabola with the vertex giving the max height, h and time t. vertex = (-b/2a, h)

t = -b/2a

t = -2/-0.4

t = 5 seconds

If you enter that for t then solve for maximum height h.

h = -0.2(5)² + 2(5)

h = -0.2(25) + 10

h = -5 + 10

h = 5 ft

If it takes 5 seconds to reach max height it will take another 5 seconds to reach the ground. 5+5 = 10 seconds