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

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 $t = \frac { 3 } { 2 } \pi \sec$