Solve the Problem by Integration $\mathrm { v }$ (In $\mathrm { m } / \mathrm { s }$

question 160

Multiple Choice

Solve the problem by integration.
-Under certain conditions, the velocity $\mathrm { v }$ (in $\mathrm { m } / \mathrm { s }$ ) of an object moving along a straight line as a function of the time $t$ (in s) is given by $v = \frac { 2 t ^ { 2 } + 20 t + 33 } { ( 4 t + 1 ) ( t + 4 ) ^ { 2 } }$ . Find the distance traveled by the object during the first $2 \mathrm {~s}$ .

• A) 4.478 m
• B) 1.182 m
• C) 0.377 m
• D) 1.015 m

---

Definitions:

Big Problems

Big Problems generally refer to significant, complex issues that affect individuals or communities, requiring considerable effort and resources to address or resolve.

Cooperative Relationships

Cooperative Relationships in therapy involve working together harmoniously to achieve common goals, emphasizing mutual respect and shared decision-making.

Assessing Client Strengths

The process of identifying and evaluating the positive qualities and capabilities of a counseling client.

Utilizing Exceptional Questions

A solution-focused technique where the therapist asks the client about times when the problem did not occur, to identify strengths and exceptions.