Solve the Problem $t$ , Find the Body's Position at Time $t$

question 150

Multiple Choice

Solve the problem.
-Given the velocity and initial position of a body moving along a coordinate line at time $t$ , find the body's position at time $t$ .
$$v = \frac { 8 } { \pi } \sin \frac { 4 t } { \pi } , s \left( \pi ^ { 2 } \right) = 2$$

• A) \(s = - 2 \cos \frac { 4 t } { \pi } + 3\)
• B) \(\mathrm { s } = - 2 \cos \frac { 4 \mathrm { t } } { \pi } + 4\)
• C) \(s = 2 \cos \frac { 4 t } { \pi } + 4\)
• D) \(\mathrm { s } = - 2 \cos \frac { 4 \mathrm { t } } { \pi } + 8\)

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Definitions:

Continuously and Immediately

Refers to actions or processes that occur without interruption and begin without delay.

Positive Reinforcement

The application or addition of a stimulus that increases or maintains the probability of some behaviour.

Negative Reinforcement

A behavioral psychology concept where the removal of an unfavorable outcome or stimulus strengthens a desired behavior.

Punishment

A consequence given to reduce the occurrence of a particular behavior.