Question

A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How long will the dolphin be in the air?

Answer 1

4 seconds

Explanation:

using the vertex formula of a quadratic,

`a(x-h)^(2) + k`, where (h,k) is the vertex

`h = -8(t-0.5)^(2)+2` h is height and t is time in seconds

the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.