A ball is thrown in to the air with an upward velocity of 28 ft/s. It height (h) in feet after t seconds is given by the function h= -16t^2+28t+7. How long does it take the ball to reach its maximum height? What is the balls maximum height?

Question

anonymous · Answer

It will reach it's maximum height at the vertex of the parabola. 

So you either need to complete the square to find the vertex. Or use the formula -b/2a=t., and substitute the answer you get for t into the equation to find the height.

$$At ^{2}+Bt+C$$So for your equation A=-16 and B= 28