Average Velocity Calculator

How to Use the Calculator

1. Select the Calculation Type:

   • From the dropdown menu labeled “Choose a Calculation”, pick the type of calculation you want to perform.
   • Options include:
     • Find v(avg) | Given v, u: For calculating average velocity.
     • Find u | Given v, v(avg): For calculating initial velocity.
     • Find v | Given u, v(avg): For calculating final velocity.

2. Input the Required Values:

   • Depending on your selection, input the required velocities:
     • For Find v(avg) | Given v, u: Enter the initial (u) and final (v) velocities.
     • For Find u | Given v, v(avg): Enter the final velocity (v) and average velocity (v(avg)).
     • For Find v | Given u, v(avg): Enter the initial velocity (u) and average velocity (v(avg)).
   • Ensure that all inputs are positive real numbers.

3. Choose Units:

   • Use the Units dropdown to select the unit of velocity that corresponds to your data (e.g., m/s, km/h).

4. Set Significant Figures:

   • Choose the number of significant figures you want in your result using the Significant Figures dropdown.

5. Calculate:

   • Click the Calculate button to get the result.
   • The calculator will display the answer along with the formula used, in a clear math format.

6. Clear the Fields:

   • Use the Clear button to reset the form if you want to perform another calculation.

Examples

1. Example 1: Find Average Velocity (v(avg))

   • Scenario: You know the initial velocity (u) is 5 m/s and the final velocity (v) is 15 m/s.
   • Steps:
     1. Select Find v(avg) | Given v, u.
     2. Enter 5 in the Initial Velocity (u) field.
     3. Enter 15 in the Final Velocity (v) field.
     4. Keep the units as m/s.
     5. Click Calculate.
     6. Result: The calculator displays 10 m/s as the average velocity, with the formula
        $v_{avg} = \frac{v + u}{2}$

        shown below.

2. Example 2: Find Initial Velocity (u)

   • Scenario: You know the final velocity (v) is 20 m/s and the average velocity (v(avg)) is 12 m/s.
   • Steps:
     1. Select Find u | Given v, v(avg).
     2. Enter 20 in the Final Velocity (v) field.
     3. Enter 12 in the Average Velocity (v(avg)) field.
     4. Keep the units as m/s.
     5. Click Calculate.
     6. Result: The calculator displays 4 m/s as the initial velocity, with the formula
        $u = 2 \times v_{avg} – v$

        shown below.

3. Example 3: Find Final Velocity (v)

   • Scenario: You know the initial velocity (u) is 7 m/s and the average velocity (v(avg)) is 10 m/s.
   • Steps:
     1. Select Find v | Given u, v(avg).
     2. Enter 7 in the Initial Velocity (u) field.
     3. Enter 10 in the Average Velocity (v(avg)) field.
     4. Keep the units as m/s.
     5. Click Calculate.
     6. Result: The calculator displays 13 m/s as the final velocity, with the formula
        $v = 2 \times v_{avg} – u$

        shown below.