5. A particle is moving along a horizontal line according to the equation ( S = 2t^3 - 4t^2 + 2t - 1 )

(a) Determine the average velocity in the first 2 seconds of motion.(1 mark)

(b) Find the velocity after 4 seconds.(1 mark)

(c) Determine the intervals of time when the particle is moving to the right.(2 marks)(d) Find the distance travelled in the first 3 seconds of motion(2 marks)

(e) Find the acceleration at time t = 3 seconds(1 mark)

(f) Find the velocity when the acceleration is equal to 4.(2 marks)