algebra 2

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A player bumps a volleyball with an initial vertical velocity of 20 ft/s. The height of the ball can be model by the function h(t) = -16t2 + 20t + 4, where h is the height in feet and t is the time in seconds.

a. What is the maximum height of the ball? ( use your graphing calculator or find the vertex)

d. Suppose the volleyball were hit under the same conditions, but with an initial velocity of 32 ft/s. How much higher would the ball go?

  • algebra 2 -

    your equation should have been
    h(t) = -16t^2 + 20t + 4

    a) It is your graphing calculator, I don't know what you have nor do I know how to use yours.
    Follow the steps outlined in the manual to answer a)

    OR

    for f(x) = ax^2 + bx + c
    the x of the vertex is -b/(2a)
    so for yours, the t of the vertex is -20/(-32) = .625
    h(.625) = -16(.625^2) + 20(.625) + 4 = 10.25
    so the vertex is (.625, 10.25)
    then the maximum height is 10.25 ft.

    OR

    h '(t) = -32t + 20 = 0 for a max/min of h(t)
    32t = 20
    t = .625 as above, find h(.625)

    OR
    complete the square, a method you might have learned in your course.

    b) change 20t to 32t in your equation and repeat a)

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