Please solve the following questions

The graph shown is the velocity function for a particle moving on a straight line. (a) When is the particle at rest? (b) Find a(2), a(3), and (1(5). (0) Find the displacement of the particle v(t) from I: 0 to I: 7 seconds. (d) Find the total distance traveled by the in ' gee particle from t= 0 to t = 7 seconds. (e) At what time is the velocity 10 ft/sec? (f) Give a piecewise function for v(t). (g) If the position of the particle at time zero is 4 feet, find the position of the particle at time 7 seconds. time in seconds