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JEE Main 2023 (24 Jan, Shift 2) · Graphs of Motion

Graphs of Motion question from JEE Main 2023 (24 Jan, Shift 2)

Q17JEE Main 2023 · 24 JAN · SHIFT 2Easy

Graphs of Motion

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

Figure

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

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Answer: (b)

  1. Areas: 0-2 s: 8×2=+168\times 2 = +16; 2-4 s: −4×2=−8-4\times 2 = -8; 4-8 s: 4×4=+164\times 4 = +16; 8-10 s: −4×2=−8-4\times 2 = -8 (in m).
  2. Displacement =16−8+16−8=16 m= 16 - 8 + 16 - 8 = 16\text{ m}
  3. Distance =16+8+16+8=48 m= 16 + 8 + 16 + 8 = 48\text{ m}
  4. Ratio =16:48=1:3= 16 : 48 = 1 : 3. So the answer is (b).
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