(Solved): A particle is moving with acceleration given by \( a(t)=\sin t+3 \cos t \). If the initial positio ...

A particle is moving with acceleration given by \( a(t)=\sin t+3 \cos t \). If the initial position of the object is 3 feet to the right of the origin and the initial velocity is 2 feet per second, find the position of the particle when \( t=\pi \) seconds. \( 2 \pi-6 \) feet \( \pi+2 \) feet \( \pi+3 \) feet \( 3 \pi+3 \) feet \( 3 \pi+9 \) feet \( 2 \pi+6 \) feet