9. The position of a particle at any time \( t \geq 0 \) is given by \( x(t) = a(\cos t + t \sin t) \) and \( y(t) = a(\sin t - t \cos t) \). What is the total distance traveled by the particle from \( t = 0 \) to \( t = \pi \)?
Answer is: option3
Solution:
\( \frac{1}{2} \pi^2 a \)
