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Question: Answered & Verified by Expert

The velocity-time graph of a body moving in a straight line is shown in figure.

 

The ratio of displacement and distance travelled by the body in time 0 to 10 s is

PhysicsMotion In One DimensionJEE MainJEE Main 2023 (24 Jan Shift 2)
Options:
  • A 1:1
  • B 1:2
  • C 1:3
  • D 1:4
Solution:
1326 Upvotes Verified Answer
The correct answer is: 1:3

Area of upper rectangles, which will give us magnitude of the area under the velocity-time graph,

A1=8×2+4×4 =32

Area of lower rectangles, which will give us magnitude of the area under the velocity-time graph,

A2=4×2 +4×2 = 16 

Therefore,

Displacement=A1-A2= 32-16 =16 Distance =A1+A2= 32+16=48 

Hence, the required ratio would be

=1648=13

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