A person travels a distance of 5 m towards East, then 4 m towards North and then 2 m towards West.
(i) Calculate the total distance travelled.
(ii) Calculate the net displacement.

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Solution

(i) Total distance travelled by the person = $5 m + 4 m + 2 m = 11 m$

(ii) To calculate the resultant displacement, we choose a convenient scale, where 1 cm represents 1 m. We draw a 5 cm long line AB towards east and then 4 cm long line BC towards north. Finally, a 2 cm long line CD towards west. The resultant displacement is calculated by joining the initial position A to the final position D.

Net displacement $A D$ = $\sqrt{(3^{2} + 4^{2})} = 5 m$

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A person travels a distance of 5 m towards East, then 4 m towards North and then 2 m towards West. (i) Calculate the total distance travelled. (ii) Calculate the net displacement.

A person travels a distance of 5 m towards East, then 4 m towards North and then 2 m towards West.
(i) Calculate the total distance travelled.
(ii) Calculate the net displacement.