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

question 44

Essay

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 $h ( t ) = - 16 ( t - 5 ) ^ { 2 } + 408$ 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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Definitions:

Adjusting Entry

A journal entry made at the end of an accounting period to record unbilled, uncollected, or unpaid transactions, ensuring the financial statements are accurate.

Insurance Expense

The cost incurred by a business or individual for obtaining protection against various risks, recorded as an expense in the accounting period in which it is incurred.

Straight-Line Method

A depreciation method in which an asset's cost is evenly spread over its useful life, resulting in equal depreciation charges each period.

Salvage Value

The estimated amount that an asset is worth at the end of its useful life.