Question

Name two quantities, the slope of whose graph gives : (i)speed (ii) acceleration​

Answer 1

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A sloping line on a speed-time graph represents an acceleration . The sloping line shows that the speed of the object is changing. The object is either speeding up or slowing down.

The two quantities are distance and velocity with respect to time.

Similarly, the acceleration is defined as the ‘rate of change of velocity’ per unit time. So it will be equal to the slope of velocity vs time graph. ‘Mathematically’ it can be proved as above.

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