2. A particle moves along the x-axis so that its position s in meters at any time tgt;0 in seconds is given by the function s(t)=2t+2sin((pi/2)t)

2. A particle moves along the x-axis so that its position s in meters at any time t>0 in seconds is given by the function s(t)=2t+2sin((pi/2)t)

(AP Calculus AB-Help- Please explain and show work to help me understand!)

A. Find the velocity function of the particle, and then determine the velocity at times t=1 and t=2.

B. Is the particle speeding up or slowing down at t=1.9 seconds? Justify your answer.

C. Find the time t on the interval [0, 3] at which the particle is farthest to the right. Justify your answer.