Erin and her friends launch a rocket from ground level vertically into the air with an initial velocity of 80 feet per second. The height of the rocket, h(t), after t seconds is given by
h(t) = -16t2 + 80t.
1. They want to find out how high they can expect the rocket to go and how long it will be in
the air
a. Use the coordinates for the vertex of the path of the rocket to find t, the number of
seconds the rocket will be in the air before it starts its downward path.