Question

Calculate the distance travelled and the displacement.
A man travels a distance of 1.5 m towards east, then 2.0 m towards
South and finally 4.5 m towards east.
(i) What is the total distance travelled?
What is his resultant displacement?
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Answer 1

Answer:

(i) Total distance travelled =1.5 + 2.0 + 4.5 <br> = 8.0 m <br> (ii) To find the resultant displacement we should draw a map of the man's movements by choosing a convenient scale. Let 1 cm represent 1 m. Then 1.5 m can be represent by 1.5 cm long line, 2.0 m by 2.0 cm line and 4.5 m by a 4.5 cm long line. <br> We draw a 1.5 cm long line AB from West to East to represent 1.5 m towards East (see Figure 6). Then we draw a 2.0 cm long line BC towards South to represent 2.0 m towards South. And finally we draw a third line CD, 4.5 cm long, towards East to represent a distance of 4.5 m towards East. Now, the resultant displacement can be found by joining the starting point A with the finishing point D. Thus, the line AD represents the final displacement of the man. Let us measure the length line AD. It is found to be 6.3 cm. <br> Now,

1 cm = 1 m <br>

Step-by-step explanation:

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