Solve the Problem $$s ( t ) = - 16 t ^ { 2 } + 96 t$$

question 62

Multiple Choice

Solve the problem.
-An explosion causes debris to rise vertically with an initial velocity of 96 feet per second. The function $$s ( t ) = - 16 t ^ { 2 } + 96 t$$ describes the height of the debris above the ground, s(t) , in feet, t seconds after the explosion. What is the instantaneous speed of the debris 4.8 second(s) after the explosion?

• A) 153.6 ft/sec
• B) -57.6 ft/sec
• C) 57.6 ft/sec
• D) -153.6 ft/sec

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Definitions:

Ordinary Loss

A loss resulting from regular business operations that is fully deductible against ordinary income on a taxpayer's tax return.

Sole Proprietor

An individual who owns and operates a business alone, bearing sole responsibility for its operations and liabilities.

Short-Term Capital Losses

Financial losses realized from the sale of an asset held for a year or less, which can be used to offset capital gains and reduce taxable income.

Capital Asset

Any type of asset that is held for investment or for personal use, including stocks, bonds, real estate properties, and collectibles, among others.