A Particle Moves Along a Straight Line with Equation of Motion

question 53

Multiple Choice

A particle moves along a straight line with equation of motion $S = t ^ { 3 } = 2 t$ . Find the smallest value of its velocity (for t ≥ 0) .

• A) \(\frac { 1 } { 2 }\)
• B)-2
• C) \(\frac { 1 } { 3 }\)
• D) \(- \frac { 1 } { 2 }\)
• E)-3
• F)2
• G)3
• H) \(- \frac { 1 } { 3 }\)

---

Definitions:

Capital Rationing

The process by which management allocates funds among competing capital investment proposals.

Capital Investment

Funds invested in a business with the intent to further its objectives, such as acquiring new assets or launching new ventures.

Investment Funds

Pooled funds from multiple investors used to collectively invest in securities such as stocks, bonds, or other assets, managed by professionals.

Manufacturing Flexibility

The ability of a manufacturing process to adapt to changes in products or production volumes with minimal delay and cost.