Final Velocity Calculator

The Final Velocity Calculator allows users to compute the final velocity of an object using either time or displacement inputs, as well as the average velocity based on these calculations.

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How to Use the Final Velocity Calculator

This step-by-step guide will help you input the required data in the Final Velocity Calculator and understand the results. Follow these instructions to calculate the final velocity using the given input fields.

Step 1: Provide Initial Inputs

Begin by entering the necessary input values into the calculator:

  • Initial Velocity (m/s): Use the Initial Velocity field to enter the initial velocity in meters per second. It is a required field, and the value must be between -1,000,000 and 1,000,000, with increments of 0.01. Use this field to specify how fast the object is moving initially.
  • Acceleration (m/s²): Enter the acceleration in meters per second squared. The Acceleration field should have a value within the same range as the initial velocity, i.e., -1,000,000 to 1,000,000 with steps of 0.01. This represents how quickly the velocity of the object is changing.
  • Time (s): In the Time field, input the duration in seconds over which the object is accelerating. This is a required field too, with a permissible range from 0 to 1,000,000 seconds, stepping by 0.01. This determines how long the object has been accelerating.
  • Displacement (m): Finally, input the displacement in the field labeled Displacement, which measures the change in position in meters. Values should also range from -1,000,000 to 1,000,000, calculated to two decimal places. This indicates the distance the object has moved during the acceleration period.

Step 2: Calculate the Results

Once all required fields have been input accurately, the calculator will compute the following results:

  • Final Velocity (Using Time): The calculator utilizes the formula initialVelocity + (acceleration * time). This result indicates the final speed of the object using time as the variable, displayed in meters per second (m/s) rounded to two decimal places.
  • Final Velocity (Using Displacement): This result is derived using the formula sqrt(pow(initialVelocity, 2) + (2 * acceleration * displacement)). It represents the final velocity using displacement and is also shown in m/s rounded to two decimal places.
  • Average Velocity: Calculated using (initialVelocity + finalVelocityTime) / 2, this value provides a measure of the average speed over the calculated period, again presented in m/s and rounded to two decimal points.

Ensure all necessary fields are filled appropriately for accurate computations. Review the results to understand the changes in velocity based on the given conditions.

Conclusion

This calculator facilitates understanding motion and velocity changes over time or distance covered. By following the above instructions, you’ll be able to use the Final Velocity Calculator efficiently to determine various outcomes related to velocity.