Solve the Problem $t = \sqrt { \frac { h } { 4.9 } }$

question 20

Multiple Choice

Solve the problem.
-When an object is dropped to the ground from a height of h meters, the time it takes for the object to reach the ground is given by the equation $t = \sqrt { \frac { h } { 4.9 } }$ , where $t$ is measured in seconds. Solve the equation for h.
Use the result to determine the height from which an object was dropped if it hits the ground after falling for 3 seconds.

• A) \(\mathrm { h } = 4.9 \mathrm { t } ^ { 2 } ; 44.1 \mathrm {~m}\)
• B) \(\mathrm { h } = 24.01 \mathrm { t } ; 72 \mathrm {~m}\)
• C) \(h = 24.01 t ^ { 2 } ; 216.1 \mathrm {~m}\)
• D) \(\mathrm { h } = 4.9 \mathrm { t } ; 14.7 \mathrm {~m}\)

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Definitions:

Natural Resource Depletion

The consumption of natural resources faster than they can be replenished, specifically accounted for in the valuation and depreciation of such resources by companies.

Income Statement

A financial statement that shows a company's revenues and expenses over a specific period, culminating in its net income or loss for that period.

Depreciable Asset

An asset that loses value over time due to use, wear and tear, or obsolescence, and whose cost can be allocated over its useful life.

Net Income

A company's remaining income after deducting all costs and taxes from its revenue.