A softball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 5.
h = height
t = time in seconds
Find the maximum height of the ball.

a) 7.6 feet
b) 8.3 feet
c) 12.2 feet
d) 13.9 feet

Question

A softball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 5.
h = height
t = time in seconds
Find the maximum height of the ball.

a) 7.6 feet 
 b) 8.3 feet 
 c) 12.2 feet 
 d) 13.9 feet

anonymous · Answer

max height is given by 
$$t=-\frac{b}{2a}$$

anonymous · Answer

in this case a = -16, b=32
$$-\frac{b}{2a}=1$$ so maximum is when t = 1

anonymous · Answer

but when you replace t by 1 in the equation you get none of the above answers.

anonymous · Answer

in fact you get 21

anonymous · Answer

I meant to add if at the begining