First slide

Position Path Length (Distance) And Displacement

Question

A particle starts moving from rest with uniform acceleration. It travels a distance x in the first 2 sec and a distance y in the next 2 sec. Then

Moderate

A

y = x
B

y = 2x
C

y = 3x
D

y = 4x

Solution

Since the particle starts from rest, distances moved in successive time intervals are in the ratio 1:3:5:7:9:....

$∴$ x : y = 1 : 3 ⇒ y = 3x

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