Instantaneous Velocity Calculator

Calculate Instantaneous Velocity





Formula

To calculate the Instantaneous Velocity (\(V_t\)):

\[ V_t = V_0 + T \times a \]

Where:

What is Instantaneous Velocity?

Instantaneous velocity is a term in physics used to describe the velocity, also known as the change in distance over time, at a specific point in time. An object undergoing acceleration will have different instantaneous velocities at different points in time. This is because acceleration is the rate of change of velocity, so that says that velocity is in fact changing. Instantaneous velocity can be found through two different methods. The first being through calculations and formulas. One of those formulas is presented above. Another formula that you can use is to take the derivative of acceleration with respect to time, at the specific time you wish to calculate the velocity. The other method to calculate instantaneous velocity is through measurement using things like a speedometer. This is often done for things like measuring the speed of a car or other moving objects.

Example Calculation 1

Let's assume the following values:

Using the formula:

\[ V_t = 10 + 5 \times 2 = 20 \text{ m/s} \]

The Instantaneous Velocity is 20 m/s.

Example Calculation 2

Let's assume the following values:

Using the formula:

\[ V_t = 15 + 3 \times 4 = 27 \text{ m/s} \]

The Instantaneous Velocity is 27 m/s.