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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

Respuesta :

meerkat18
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=−16t²+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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