NASA launches a rocket at $\displaystyle {t}={0}$ seconds. Its height, in meters above sea-level, as a function of time is given by $\displaystyle {h}=-{4.9}{t}^{{2}}+{250}{t}+{87}$.

(A) Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? (Round answer to 2 decimal places)

The rocket splashes down after seconds.

(B) How high above sea-level does the rocket get at its peak? (Round answer to 2 decimal places)

The rocket peaks at meters above sea-level.