A body travel a distance of 5m from p to q and then moves a distance of 10 m at right angle at pq. Calculate the total distance and resultant displacement
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72
answer : distance = 15m
and displacement = 5√5 m
explanation : see figure, A body travels a distance of 5m from P to Q and then moves a distance of 10m at right angle at PQ.
so, distance covered by body = length of PQ + length of QR
= 5m + 10m = 15m
displacement is the minimum separation from final position to initial position.
so, resultant displacement covered by body = length of PR
from Pythagoras theorem,
PR² = PQ² + QR².
= 5² + 10² = 125
or, PR = √125 = 5√5 m
hence, resultant displacement = 5√5m
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Answer:
Distance = 15m
Displacement = 5√5m
Explanation:
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