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)= 4.9t2 +238t+402. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.