Answer:
i) 8.0m
ii) 6.32m
Explanation:
i) The total distance traveled will be the sum total of individual distances traveled by the man.
If the man travels a distance if 1.5 m towards east ,then 2m towards south and 4.5 m towards east, the total distance traveled will be expressed as; 1.5m+2m+4.5m
= 8.0m
ii) In order to get the man resultant displacement, we will use the Pythagoras theorem. Since the man travels a distance if 1.5 m and 4.5m towards east, the total distance taken towards east will be 6.0m and the distance traveled towards south is 2.0m. The resultant displacement of the man is expressed as;
R = [tex]\sqrt{x^{2}+y^{2} }[/tex]
Note that the eastward direction is the x-direction while the south direction is the y-direction.
x = 6.0m and y = 2.0m
[tex]R = \sqrt{6^{2}+2^{2} } \\R = \sqrt{36+4}\\ R = \sqrt{40} \\R = 6.32m[/tex]
The displacement of the man is 6.32m
