Solve the Problem $s _ { 1 } = \sin t$

question 378

Multiple Choice

Solve the problem.
-The positions of two particles on the s-axis are $s _ { 1 } = \sin t$ and $s _ { 2 } = \sin \left( t + \frac { \pi } { 4 } \right)$ , with $s _ { 1 }$ and $s _ { 2 }$ in meters and $t$ in seconds.
At what time(s) in the interval $0 \leq t \leq 2 \pi$ do the particles meet?

• A) \(t = \pi \sec\) and \(t = 2 \pi \mathrm { sec }\)
• B) \(t = \frac { 3 } { 8 } \pi \sec\) and \(t = \frac { 11 } { 8 } \pi \sec\)
• C) \(t = \frac { 3 } { 4 } \pi \sec\) and \(t = \frac { 11 } { 4 } \pi \sec\)
• D) \(t = \frac { 1 } { 2 } \pi \sec\) and \(t = \frac { 3 } { 2 } \pi \sec\)

---

Definitions:

Respiratory Secretions

Fluids produced in the airways, including mucus and saliva, that can trap pathogens and aid in their removal from the respiratory system.

Disinfectant Solution

A chemical liquid used to eliminate or reduce harmful microorganisms on surfaces.

Sharps Injury Log

A record maintained in healthcare facilities to document injuries from needles and other sharp medical instruments, used for safety monitoring and improvements.

Occupational Injuries

Injuries or illnesses that occur as a result of exposures or incidents in the workplace.