The height in feet of a model rocket t seconds after launch is given by the quadratic function h(t) = −16t 2 +150t + 40 .

Question

1. What is the initial height of the rocket?
2. b) Determine the time it takes for the rocket to reach the maximum height and find the maximum height. You must show all work done algebraically.

Answer 1

(1) Initial height is

h(0) = 40 ft

(2) Maximum height occurs at the vertex of the height-vs.-time parabola at

t = -150 / [2(-16)] sec = ? sec

Evaluate h(t) at the result for t above to get maximum height.