Question

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

Answer 1

Answer:

Below in BOLD.

Step-by-step explanation:

h(t) = -0.2t^2 + 2t

We can find the maximum height and the time by converting to vertex form:

h(t) = -0.2(t^2 - 2t)

= -0.2[(t - 1)^2 - 1)

= -0.2(t - 1)^2 + 0.2

The time to get to maximum height = 1 second and the maximum height is 0.2 m.

When the ball reaches the ground h = 0 so

-0.2(t - 1)^2 + 0.2 = 0

(t - 1)^2 =  -0.2 / -0.2 = 1

t - 1 = 1

t = 2 seconds.