The velocity of a rocket, in feet per second, of a rocket t seconds into vertical flight is given by v(t) = -3t 2 +192t. Find an expression h ( t ) that gives the rocket’s altitude, in feet, t sec...

The velocity of a rocket, in feet per second, of a rocket
t
seconds into vertical flight is given by v(t) = -3t²
+192t. Find an expression
h(t) that gives the rocket’s altitude, in feet,
t
sec after liftoff.  What is the altitude of the rocket 30 seconds after liftoff?