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12 November, 09:21

Item 12 an employee at a local stadium is launching t-shirts from a t-shirt cannon into the crowd during an intermission of a football game. the height hh (in feet) of the t-shirt after tt seconds can be modeled by h=-16t2+96t+4h=-16t2+96t+4. find the maximum height of the t-shirt

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  1. 12 November, 10:39
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    Apply the concept of differential calculus. Tofind the maxima or minima if you are only given the equation, differentiate the equation and equate to zero.

    h=-16t ² + 96t+4

    dh/dt = 0 = - 32t + 96

    Solving for t,

    t = 3

    Now, substitute t=3 to the original equation

    h = - 16 (3) ² + 96 (3) + 4

    h = 148 ft
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