Problem Solving Polynomial Function

Question

Polynomial Function: Trizia Mae, a gymnast, dismounts the uneven parallel bars. Her height, depends h, on the time, t, that she is in the air as h = - 16t^2 + 8t + 8

a) How long will it take Trizia Mae to reach the ground?

b) When wilk Trizia Mae be 8 feet above the ground?

Answer 1

h = 0 = -16t^2 + 8t + 8

2t^2 -t -1 = 0

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

t-1=0

t = 1 second is when she reaches the ground

she's 8 feet above the ground at t=0

her maximum height is when h' = -32t+8= 0 or t=8/32 = 1/4 second at height = 9 feet, 1 foot above the bars