PLEASE HELP WILL MARK AS BRAINLIEST 15PTS 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 + 2 sin (pi/2 t). a. Find th

PLEASE HELP WILL MARK AS BRAINLIEST 15PTS

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 + 2 sin (pi/2 t).

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.