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MHT CET20249 May 2024Morning ShiftPhysicsMotion in One DimensionActual

A velocity - time graph of a body is shown below. The distance covered by the body from 6 second to 9 second is

Options

  1. A22.5 m
  2. B60.0 m
  3. C65.0 m
  4. D120.0 m

Correct answer

C. 65.0 m

Step-by-step solution

Given Graph: The graph consists of straight lines, and the distance is the area under the velocitytime curve. Split the graph from t=6 to t=9 : - t=6 to t=8 : Rectangle with base 2 s and height 30 ~m / s , Area = Base Height =2 30=60 ~m - t=8 to t=9 : Triangle with base 1 s and height 10 ~m / s , Area = 1 2 Base Height = 1 2 1 10=5 ~m Total Distance: Total Distance =60+5=65 ~m Answer: 65 m, closest to Option 3: 82.5 m (if rounded incorrectly in solution).

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