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23/10/2021 5:43 pm
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A body travels a distance of 3 km towards East, then 4 km towards North and finally 9 km towards East.
(i) What is the total distance travelled?
(ii) What is the resultant displacement?
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23/10/2021 5:46 pm
(i) Total distance travelled = 3 + 4 + 9 = 16 km
(ii) The body travels a total distance of 12 km in east direction i.e. towards x-axis. And it travels a distance of 4 km in North direction, i.e. towards y-axis.
Hence, resultant displacement is
= \(\sqrt{12^2 + 4^2}\) = \(\sqrt{144 + 16}\)
= \(\sqrt{160}\) = 12.6 km