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Question

An ant travels along a right angled triangle PQR first from P to R, then from R to Q. Find the displacement and distance travelled by the ant?
Given, PR = 13 m, RQ = 12 m


A
Displacement = 25 m
Distance = 25 m
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B
Displacement = 25 m
Distance = 5 m
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C
Displacement = 5 m
Distance = 25 m
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D
Displacement = 5 m
Distance =5 m
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Solution

The correct option is C Displacement = 5 m
Distance = 25 m
Given, the distance PR = 13 m, and RQ = 12 m
the total distance travelled = PR + RQ = 13+12 = 25 m.

The initial position is P, and the final position is Q.
The shortest distance between the initial and the final positions is the displacement.
the total displacement = PQ = 132122 = 25 = 5 m (using Pythagoras theorem)
the distance covered by the ant is 25 m, and the displacement is 5 m.

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