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 +677 + 171. 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.