Solve the Problem $\mathrm { m } / \mathrm { s }$

question 128

Multiple Choice

Solve the problem.
-A certain object moves in such a way that its velocity (in $\mathrm { m } / \mathrm { s }$ ) after time $t$ (in s) is given by $\mathrm { v } = \mathrm { t } ^ { 2 } + 2 \mathrm { t } + 12$ . Find the distance traveled during the first four seconds by evaluating $\int _ { 0 } ^ { 4 } \left( t ^ { 2 } + 2 t + 12 \right)$ dt. Round to the nearest tenth.

• A) \(64.0 \mathrm {~m}\)
• B) \(85.3 \mathrm {~m}\)
• C) \(37.3 \mathrm {~m}\)
• D) \(36.0 \mathrm {~m}\)

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Definitions:

Ratio Analysis

A quantitative method of gaining insight into a company's liquidity, operational efficiency, and profitability by comparing financial statement items.

Financial Statements

Official records that outline a company's financial activities and conditions, including the balance sheet, income statement, and cash flow statement.

Firm's Financial Position

The status of a company's assets, liabilities, and equity at a given point in time, as reflected in its financial statements.

Market/Book Ratio

Also known as the price-to-book ratio, it compares a company's market value with its book value, indicating how much investors are paying for each dollar of net assets.