The Function S = F(t) Gives the Position of a Body

question 101

Multiple Choice

The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.
- $$\mathrm { s } = 2 \mathrm { t } - \mathrm { t } ^ { 2 } , 0 \leq \mathrm { t } \leq 2$$
Find the body's speed and acceleration at the end of the time interval.

• A) \(6 \mathrm {~m} / \mathrm { sec } , - 4 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• B) \(- 2 \mathrm {~m} / \mathrm { sec } , - 2 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• C) \(2 \mathrm {~m} / \mathrm { sec } , - 2 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• D) \(2 \mathrm {~m} / \mathrm { sec } , - 4 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)

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Definitions:

Straight-Line Depreciation

A method of calculating the depreciation of an asset evenly over its useful life, assigning a fixed expense amount to every accounting period.

Fixed Asset

A durable, physical asset that a company possesses and employs in its business activities to produce revenue.

Salvage Value

Salvage value is the estimated residual value of an asset at the end of its useful life, indicating how much the asset can be sold for after it is no longer useful for its intended purpose.

Estimated Life

The expected period over which an asset will be useful in the operations of a business.