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28 March, 19:58

Vanessa throws a tennis ball in the air. the function h (t) = - 16t2 + 45t + 7 represents the distance, in feet, that the ball is from the ground at any time t. at what time, to the nearest tenth of a second, is the ball at its maximum height? t = seconds listen submit answer previous next

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  1. 28 March, 20:23
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    Given that height, h (t) of a tennis ball is modeled by the equation h (t) = - 16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:

    at maximum height:

    h' (t) = 0

    but from the equation:

    h' (t) = - 32t+45=0

    solving for t we get

    t=45/32

    t=1.40625~1.4 seconds

    Thus the time taken to reach maximum height is 1.4 seconds
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