A boy begins a morning walk from his house along a straight east–west road. His movements are as follows:
• Walks 300 m east in 4 min.
• Continues a further 600 m east in 8 min.
• Rests for 3 min without changing position.
• Walks 400 m west in 5 min.
(a) Calculate the total distance covered and the displacement of the boy from his house at the end of the walk.
(b) Determine the total time elapsed, including the rest interval.
(c) Compute his average speed for the entire outing.
(d) Compute the magnitude and direction of his average velocity.
(e) Briefly explain why the magnitudes of the average speed and average velocity differ in this case.