A car starts from rest and its velocity changes as follows:
• From t=0 to t=6s, the velocity increases uniformly to 24m/s.
• From t=6s to t=10s, the velocity remains constant.
• From t=10s to t=14s, the velocity decreases uniformly to 8m/s. Solve the following:
(a) Plot a velocity–time graph for the entire 14s duration using a proper scale.
(b) Calculate the acceleration during each of the three time intervals.
(c) Find the total displacement of the car in the 14s.
(d) Determine the average acceleration of the car over the whole journey.