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QJEEM23Ph6416: JEE Main 2023 Physics - Class 11 JEEM23Ph6416 Solution: The velocity time graph of a body moving in a straight line is…

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

JEE Main 2023 (Online) 24th January Evening Shift Physics - Motion in a Straight Line Question 30 English

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

Multiple Choice Options

  • A 1:01
  • B 1:03
  • C 1:04
  • D 1:02

Step-by-Step Verified Solution

From vv -t graph

Displacement == Area under curve considering sign also.

Distance == Area under curve considering only magnitude

Displacement =Σ= \Sigma area =8=8 ×\times 2−42-4 ×\times 2+42+4 ×\times 4−24-2 ×\times 4=16 m4=16 \mathrm{~m}

Distance =Σ∣=\Sigma \mid area ∣=48 m\mid=48 \mathrm{~m}

Displacement : distance =1:3=1: 3

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