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The Staging Platform for a Fireworks Display Is 8 Ft h(t)=16(t5)2+408h ( t ) = - 16 ( t - 5 ) ^ { 2 } + 408

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The staging platform for a fireworks display is 8 ft above ground, and the mortars leave the platform at 160 ft/sec. The height of the mortars h(t) (in feet) can be modeled by h(t)=16(t5)2+408h ( t ) = - 16 ( t - 5 ) ^ { 2 } + 408 where t is the time in seconds after launch.
a. If the fuses are set for 5 sec after launch, at what height will the fireworks explode?
b. Will the fireworks explode at their maximum height? Explain

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a. The fireworks will explode ...

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