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Question

Larger the slope of a displacement-time graph

A
lesser the velocity
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B
higher the velocity
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C
lesser the acceleration
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D
higher the acceleration
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Solution

The correct option is D higher the velocity
The slope of a displacement-time graph with time axis measures velocity. Larger slope (steeper graph) means the displacement is changing with a faster rate with respect to the time. Faster rate of change of change of distance with respect to time simply means the body has a larger velocity.

So, larger slope indicates higher velocity.

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