# Average Velocity Calculator

Contents
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.