1. 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? ii. What is his resultant displacement?
Answers
Answer:
Total Distance travelled is 8.0m
Step-by-step explanation:
Total distance travelled =1.5 + 2.0 + 4.5
= 8.0 m
(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.
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.
Now, 1 cm = 1 m
So, 6.3 cm = 6.3 m
Thus, the final displacement as represented by AD is 6.3 metres.