A particle moves along the x-axis so that its velocity at time t is given by v(t)=(t+1) sin At time t = 0, the particle is at position x = 1. (a) Find the acceleration of the particle at time t = 2. Is the speed of the particle increasing at t = 2? Why or why not? (b) Find all times t in the open interval 0<t<3 when the particle changes direction. Justify