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Online Velocity Calculator
Calculate final velocity, initial velocity, acceleration, or time using v = u + at, with a choice of units.
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What Is This Tool?
The Velocity Calculator uses the equation v = u + at to find final velocity, initial velocity, acceleration, or time when you know the other three. Choose what to solve for, enter the known values with their units, and it returns the answer. For example, starting at 3 m/s and accelerating at 10 m/s² for 30 s gives a final velocity of 303 m/s.
How to Use This Tool?
- Choose whether to find v, u, a, or t.
- Select the unit you want for the answer.
- Enter the three known values with their units.
- Click Calculate to see the result.
Key Features
- Solves for final velocity, initial velocity, acceleration, or time.
- Supports many velocity, acceleration, and time units.
- Converts mixed units automatically.
- Handles negative values for deceleration.
- Shows each result with its symbol and unit.
Examples
- u = 3 m/s, a = 10 m/s², t = 30 s gives v = 303 m/s.
- v = 500 m/s, a = 5 m/s², t = 30 s gives u = 350 m/s.
- v = 1000 m/s, u = 400 m/s, t = 60 s gives a = 10 m/s².
- v = 950 m/s, u = 0, a = 20 m/s² gives t = 47.5 s.
Common Use Cases
- Solving motion problems in physics.
- Finding how long it takes to reach a speed.
- Working out acceleration from a change in velocity.
- Checking braking and deceleration figures.
- Studying for mechanics exams.
Tips & Best Practices
- Select the correct unit for each value before calculating.
- Use a negative acceleration to model slowing down.
- This equation assumes constant acceleration.
- Time cannot be zero when solving for acceleration.
- Acceleration cannot be zero when solving for time.
Limitations
- It assumes constant acceleration, not changing forces.
- It uses motion in a straight line.
- Time and acceleration cannot be zero when used as divisors.
- Results are rounded for display.
Frequently Asked Questions
- What is the velocity formula?
- Final velocity equals initial velocity plus acceleration times time, written v = u + at.
- How do I find acceleration?
- Rearrange the formula to a = (v − u) ÷ t. Enter the two velocities and the time, and the calculator solves for acceleration.
- What is the difference between velocity and speed?
- Speed is how fast something moves, while velocity is speed in a specific direction, so it can be negative.
- What does initial velocity mean?
- Initial velocity, written u, is the speed of the object at the start of the time interval.
Key Terminology
- Velocity
- The speed of an object in a given direction.
- Initial velocity
- The velocity at the start of the time interval, written u.
- Final velocity
- The velocity at the end of the time interval, written v.
- Acceleration
- The rate at which velocity changes over time.
- Constant acceleration
- Acceleration that does not change during the motion.