A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?

A)1.75 seconds
B)2.50 seconds
C)2.75 seconds
D)3.50 seconds

Question

A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?

A)1.75 seconds	
B)2.50 seconds	
C)2.75 seconds	
D)3.50 seconds

anonymous · Answer

$$v(t)=-32t+56=0$$because at max height the velocity will be zero.  Thus,$$t=\frac{56}{32}=1.75 $$

anonymous · Answer

this really helped me