Answer:
The rocket ship reaches of height of 600 feet at t=8.415
Step-by-step explanation:
First, plug in the values you know. f(t) is equal to 600, the amount of feet at time t. The vertical velocity and initial heights should also be plugged in. You should end up with an equation that looks like:
600 = -16t^2 + 200t +50.
Simply use the quadratic formula to solve for t. You'll get two answers, one negative and one positive. Choose the positive one, as the negative answer is impossible to answer a real life time problem.
The answer is 8.415.