Question

(9.1) A knight, on a chess board, moves two squares forward and one square to the right.

(a) Determine the knight’s displacement in terms of components.

(b) Determine the magnitude and direction of the knight’s displacement.

(9.2) A person set out at 11:00 AM one day and walked three blocks east. Turning a corner, he then continued walking four blocks north. Just as he reached the end of the fourth block, his watch read 11:10.

(a) Determine the person’s displacement during his 10 minute walk (in terms of “east,” and “north” components).

(b) Compute the magnitude and direction of his displacement.

(c) Compute his average velocity

(i) in terms of components

(ii) in terms of magnitude and direction

(9.3) A ship sailed at 20 km/h due north for three hours. It then sailed at 30 km/h at 30◦ east of north for two more hours.

(a) (i) Determine the distance that the ship travelled throughout its five hour sail.

(ii) Determine the average speed of the ship.

(b) (i) Determine the displacement of the ship throughout its five hour sail (in components).

(ii) Determine the average velocity of the ship throughout its five hour sail (in components).

(c) (i) Determine the magnitude and direction of the ship’s displacement throughout the five hours.

(ii) Determine the magnitude and direction of the average velocity of the ship throughout the five hours.

Answer 1