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+124t+416.

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

the rocket splashes down after .

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

the rocket peaks at above sea level.