Math

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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)

  • Math -

    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.

  • Math -

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

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