NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 133 t + 255 .

Question

Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

How high above sea-level does the rocket get at its peak?

Answer 1

Maximun height at t = -133 / 2(-4.9)

Splash down at h(t) = 0. Can you solve for t and answer?