The velocity time graph of a body moving in a straight line is shown… | MHT CET 2025 (21 Apr, Shift 1)

Q4MHT CET 2025 · 21 APR · SHIFT 1Easy

Graphs of Motion

The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement to distance travelled by the body in time 0 to 8 s is

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Answer: (c)

Read the graph (not to scale) as: $+3$ m/s for $0$ - $2$ s, $-2$ m/s for $2$ - $3$ s, $+2$ m/s for $3$ - $5$ s, $-2$ m/s for $5$ - $6$ s, $+2$ m/s for $6$ - $8$ s.
Positive area $= 6 + 4 + 4 = 14\text{ m}$ ; negative area $= 2 + 2 = 4\text{ m}$
Displacement $= 14 - 4 = 10\text{ m}$ ; distance $= 14 + 4 = 18\text{ m}$
Ratio $= 10 : 18 = 5 : 9$ , so the answer is (c).

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