graphs

Question

Slope of displacement-time graph gives:

RankGuru · Accepted Answer

The slope of a graph at any point is defined as the derivative of the y-variable with respect to the x-variable.
For a displacement-time ($s-t$) graph, the slope is $\frac{ds}{dt}$.
By definition, the instantaneous velocity $v$ is the rate of change of displacement: $v = \frac{ds}{dt}$.
Therefore, the slope of the $s-t$ graph represents velocity.

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Velocity-time graph is a straight line with positive slope. Acceleration is:

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