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Matter In Our Surroundings

Question
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Show that the slope of distance-time graph gives velocity of the body.

Solution

Consider the figure given below:


This is a distance-time graph for a body moving with uniform velocity.

Clearly, it covers distances S1 and s2 at times t1 and t2 respectively.
Slope space of space line space AB space equals space tan space straight theta space equals space BC over AC
space space space space space space space space space space space space space fraction numerator straight s subscript 2 space minus space straight s subscript 1 over denominator space straight t subscript 2 space minus space straight t subscript 1 end fraction space equals space Displacement over Time space equals space Velocity.

Hence, the slope of the distance-time graph gives velocity of the body.