On a running dive from a platform, Larissa’s height, h, in meters is given by ℎ=−4𝑡^2+4𝑡+8where t, is the time in seconds. Round all answers to 2 DECIMAL PLACES.

Question

I have 3 questions with it,

1. How high is the platform?
2. When does she reach her maximum height?
3. What is her maximum height?

Please help, i cant get the answers! Thank you in advance!

Answer 1

(1)

It is the same as the initial value of h(t), which is h(0) = 8 meters

(2)

She reaches it at the vertex of the height-vs.-time parabola, which is at

t = -b/(2a) = -4/[2(-4)] sec = 1/2 sec

(3)

Evaluate h(t) at the result from question (2).