Question

Please help if you can.

If a ball is shot projected straight upward at a rate of 64 feet per second from a rooftop, 80 feet above ground level, the height of feet above ground is modeled by the equation,
h(t)=-16t^2+64t+80
Find h(0), h(1),h(2)

Use the zero-factor property to determine how many seconds it will take for the ball to reach the ground? (What value of t makes h(t)=0)

Answer 1

I will do one of them, you do the rest following my method, ok?

f(1) = -16(1)^2 + 64(1) + 80
= -16 + 64 + 80
= 128

when h = 0
-16t^2+64t+80 = 0
divide by -16
t^2 - 4t - 5 = 0
(t-5)(t+1) = 0
so t=5 or t=-1

clearly t > 0 ,so after 5 seconds it will reach the ground.

Answer 2

Thank you so much. You really helped me understand. I can definitely finish the rest.