Question

What will be the ratio between the magnitude of velocity and time?

Answer 1

The magnitude of velocity and time:

1. The velocity of a body is the time rate of displacement and direction of an object's movement.
2. The ratio between velocity and time will give you the acceleration.
3. Acceleration is defined as the time rate of change of velocity of an object and is given by,

$Acceleration,a=\frac{velocity}{time}\left(\raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{${\mathrm{s}}^2$}\right.\right)=\frac{∆v_x}{∆t}$

Here,

$∆v_x$is the change in velocity,

$∆t$ is the change in time.

1. The above graph is the velocity-time graph of an object moving in the x-direction.
2. The slope of the graph gives the ratio of velocity and time which is the acceleration of the object.

Therefore, the ratio taken between the magnitude of velocity and time is the acceleration.