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Final Velocity Calculator Without Time Online

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Final velocity is a fundamental concept in kinematics, describing the speed of an object at the end of its motion. Calculating this without the time variable is particularly useful in scenarios where time is difficult to measure or irrelevant. This calculator provides a way to compute final velocity using initial velocity, acceleration, and displacement.

Formula of Final Velocity Calculator Without Time

The key formula for calculating final velocity without time is:

Final Velocity Without Time

Here’s what each variable represents:

  • v: Final velocity
  • u: Initial velocity
  • a: Acceleration
  • s: Displacement
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To find the final velocity (v), rearrange the formula:

v = sqrt(u^2 + 2as)

teps to Calculate Final Velocity:

  1. Identify the initial velocity (u): The speed at which the object starts.
  2. Determine the acceleration (a): The rate of change of velocity.
  3. Measure the displacement (s): The total distance the object travels.
  4. Plug the values into the formula to calculate final velocity.

Table of General Terms and Calculations

TermDescriptionTypical Values or Conversion Factors
Initial Velocity (u)The velocity of the object at the start of its motionMeasured in meters per second (m/s)
Final Velocity (v)The velocity of the object at the end of its motionCalculated in meters per second (m/s)
Acceleration (a)Rate of change of velocityMeasured in meters per second squared (m/s²)
Displacement (s)Total distance covered by the objectMeasured in meters (m)
Gravity (g)Acceleration due to gravityApprox. 9.81 m/s² on Earth
Kinetic Energy (KE)Energy due to motionCalculated as 1/2𝑚𝑣2 (in joules)
Potential Energy (PE)Energy due to positionCalculated as 𝑚𝑔ℎ (in joules)

Example of Final Velocity Calculator Without Time

Consider a car accelerating from rest with an acceleration of 3 m/s² over a displacement of 50 meters. Using the formula:

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v = sqrt(0^2 + 2 * 3 * 50)
v = sqrt(300) = 17.32 m/s

This example demonstrates how the formula applies in real-world scenarios, allowing for the calculation of final velocity without the need for time data.

Most Common FAQs

Q1: Can I use this formula for any type of motion?

A1: Yes, this formula is applicable for any uniformly accelerated motion without the need for time measurement.

Q2: What if the initial velocity or acceleration is zero?

A2: The formula still applies. If any variable is zero, it simplifies the calculation, as seen in the example.

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