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Find the ratio of the speed of objects A and B at a distance of $150 m$ .

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answer is D.

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Detailed Solution

The ratio of the speed of objects A and B at a distance of

150 m

3

.
The Slope of a distance-time graph at any point on the graph gives the value of the speed of the object at that point.
So, Speed of object A at a distance of

150 m =

Slope of line OQ

= \frac{150 - 0}{2 - 0}

= 75 m / s

and Speed of object B at a distance of

150 m =

Slope of line PQ

= \frac{150 - 100}{2 - 0}

= 25 m / s

Ratio

= \frac{Speed of object A}{Speed of object B}

= \frac{75}{25}

= 3

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