Question

A ball is fired vertically into the air. Its height in feet t seconds later is given by the formula: h(t)= -2t^2+80t

a) what is the height of the ball after 3 sec?
b) what is the velocity of the ball after 5 sec?
c) when does the ball reach its man height?
d) what is the max height the ball reaches?

Answer 1

v(t)=40-16t
so max height is when v(t)=0 or t=40/16
and the max height is found by plugging that into the height equation