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

Question

Mathematics

Adriana Ritter

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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Ian Novak · Answer 1

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