Question

What is the numerical ratio of velocity to speed of an object?

Answer 1

1. Velocity is known as the changing displacement as a function of time and it is a vector quantity means it is described using both magnitude and direction.
2. Speed is the measure of how fast an object can cover a distance. It is a scalar quantity which means it is described using the magnitude only.
3. Both speed and velocity have the SI unit meters per second (m/s).
4. Speed is also known as the magnitude of the velocity when the object is moving in a straight line,
5. The relation between velocity and speed will be $\mathrm{Velocity}\le \mathrm{Speed}$

We know that,

$$\begin{gathered} Speed=\frac{Dis\tan ce}{Timetaken} \\ Velocity=\frac{Displacement}{Timetaken} \end{gathered}$$

So the ratio will be,

$$\begin{gathered} \frac{Velocity}{Speed}=\frac{Displacement}{Dis\tan ce} \\ \mathrm{And}, \\ Displacement\le Dis\tan ce \\ \Rightarrow \frac{\mathrm{Velocity}}{\mathrm{Speed}}\le 1 \end{gathered}$$

Therefore, the numerical ratio of velocity to speed is ≤ 1.