NASA launches a rocket at t=0\displaystyle {t}={0} seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=4.9t2+43t+339\displaystyle {h}{\left({t}\right)}=-{4.9}{t}^{{2}}+{43}{t}+{339}.

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.