Graphs of Position, Velocity, Speed, and Acceleration for a particle traveling on the horizontal line y=3 that's position at time, t, is given by p(t)=2cos(pi/4*t)

Move the slider, t, over the interval 0<t<6. Observe the particle's motion and the related graphs. When is the particle speeding up, slowing down? How far does the particle move to the left, to the right? Other observations?