help me please!!!

Question

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. Use this information to answer the following questions .

what is the height of the ball after 2 seconds?

Answer 1

Hi Christina B.

Given the function

h(t) = -16t² + 64t + 4

And that at t = 0

h(t) = 4

Because you just plug in 0 for t

h(0) = 16(0)² + 64(0) + 4 = 4

Can you plug in 2 for t and solve the function?

t = 2 seconds so

h(2) = -16(2²) + 64(2) + 4

You can check your answer to confirm by graphing your function at Desmos.com

Answer 2

h(2) = -16(2)^2 +64(2) +4

= -64 + 128 + 4 = 68 feet

which is the maximum height