Question

Juli is going to launch a model rocket. The function h(t)=−16t²+32t models the height, ℎh, of the rocket above the ground as a function of time, t. Find the time that the rocket will be 16 feet above the ground.

a) t=1 sec
b) t=2 sec
c) t=2.5 sec
d) t=3 sec

Answer 1

The rocket will be 16 feet above the ground at t = 1 sec and t = 2 sec.

Step-by-step explanation:

To find the time when the rocket will be 16 feet above the ground, we set the height function h(t) to 16 and solve for t:

16 = -16t^2 + 32t

Re-arranging the equation, we get:

-16t^2 + 32t - 16 = 0

Using the quadratic formula, the solutions for t are:

t = 1 sec and t = 2 sec

Therefore, the rocket will be 16 feet above the ground at t = 1 sec and t = 2 sec.