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:

Machine-Hours

A measure of production output or capacity, indicating the total hours that machinery is operated over a specific period.

Fixed Overhead

Regular, unchanged costs incurred by a business for its operations regardless of varying levels of production, such as rent, salaries, and insurance.

Unused Capacity

The available resources or production capabilities that are not currently being utilized.

Activity-Based Costing

A method of costing that apportions indirect expenses and overhead to specific operations, enhancing the accuracy of product cost calculations.