A baseball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 10. (h = height, t = time in seconds)
Find the maximum height of the ball.

a) 10 feet
b) 2.3 feet
c) 26 feet
d) 23 feet
?

Question

A baseball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 10. (h = height, t = time in seconds)
Find the maximum height of the ball.

a) 10 feet 
 b) 2.3 feet 
 c) 26 feet 
 d) 23 feet 
?

anonymous · Answer

If you find the derivative of the function: h'(t)=-32t+32
This shows the rate of change of the function. So when it is =0 it means that it is a min/max of the function. (here it is a max)
So: -32t+32=0 solving gives t=1  (at t=1 h(t) has max)
Put it back in the function: -16+32+10=26 

So the answer is C.