Question

In a displacement versus time graph, what does the slope of a line at any point indicate?


acceleration


maximum displacement


minimum displacement


velocity

Answer 1

In a displacement versus time graph, the slope of the line at any point on the graph indicates the magnitude of velocity.  

(It can't indicate velocity completely, because the graph shows nothing about the direction of the motion.)

Answer 2

In a displacement versus time graph, the slope of the line at any point on the graph indicates the magnitude of velocity.  

What is velocity?

Velocity is the time rate of change of displacement. The displacement and velocity both are vector quantities. They represent magnitude and direction as well.

velocity = change in displacement / change in time

v = ds/dt

So, the slope of line showing the graph of displacement vs time give s an idea of velocity of the particle.

Thus, the slope of the line at any point on the graph indicates the magnitude of velocity.

Learn more about velocity.

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