Discussion
If a moving body changes its position from x1 to x2 in a time interval Δt , then \(\frac{x_{2} - x_{1}}{\Delta t}\) is defined as
Answer: B
The quantity is the average velocity.
The change in position, x2 − x1, is the displacement. Displacement divided by the time interval over which it happens is, by definition, the average velocity over that interval. It depends only on the end points, not on how the body moved in between.
Instantaneous velocity is the limit of this ratio as Δt tends to zero, the derivative dx/dt, so it needs a vanishing interval, not a finite one. Average and instantaneous acceleration are rates of change of velocity, not of position. 'Average displacement' is not a rate at all, and the ratio has units of m s-1, not metres.
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