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Calculator Answers

Velocity Calculator

Blake Boege
Written by Blake Boege · Founder, Calculator Answers

A velocity calculator is a physics tool that measures the rate and direction of an object's change in position. In kinematics, it can compute constant velocity as the ratio of displacement to time, or final velocity under constant acceleration by summing initial velocity and the product of acceleration and elapsed time.

Calculate velocity from distance and time or from initial velocity, acceleration, and time. Features built-in vector support with cardinal directions or angle degrees.

Quick Answer

Calculate velocity using two modes: from distance and time (v = d/t) or from initial velocity, acceleration, and time (v = v₀ + at). Support for physical direction vectors.

Calculation Mode

e.g. 100

e.g. 10

Direction (Vector Support)

Velocity

Speed Magnitude (v)

10 m/s

Formula: v = d/t

Speed (m/s)10 m/s
Speed (ft/s)32.8084 ft/s
Speed (km/h)36 km/h
Speed (mph)22.3694 mph

Velocity is a vector quantity containing both magnitude (speed) and direction. Speed is scalar.

Step-by-Step Calculation

[1]Identify input variables and units:
[2] Distance (d) = 100 m
[3] Time (t) = 10 s
[4] Direction = None (calculating speed scalar)
[5]Convert inputs to standard SI units (meters and seconds):
[6] d = 100 m
[7] t = 10 s
[8]Calculate velocity magnitude (v = d / t):
[9] v = 100 / 10 = 10 m/s
[10]No direction specified. Speed = 10 m/s
[11]Convert to other common velocity units:
[12] In ft/s: 10 / 0.3048 ≈ 32.8084 ft/s
[13] In km/h: 10 × 3.6 ≈ 36 km/h
[14] In mph: 10 / 0.44704 ≈ 22.3694 mph
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Examples

100 meters in 10 seconds heading East (Distance/Time)

Velocity = 10 m/s @ East (36 km/h or 22.37 mph)

Accelerating from rest at 9.8 m/s² for 5 seconds (Acceleration)

Velocity = 49 m/s (176.4 km/h or 109.61 mph)

1.5 miles in 15 minutes heading North-West

Velocity = 2.6822 m/s @ North-West (9.66 km/h or 6 mph)

How it works

Velocity can be calculated using two primary methods depending on your known parameters:

Formula from Distance and Time (Constant Velocity)

v = d / t

Where v is velocity, d is distance (displacement), and t is time.

Formula from Acceleration (Kinematics)

v = v₀ + a · t

Where v is final velocity, v₀ is initial velocity, a is acceleration, and t is time.

Why Direction Matters: Speed vs. Velocity

In everyday language, speed and velocity are often used interchangeably, but in physics, they represent different concepts. If a car drives in a circle at a constant 60 mph, its speed is constant, but its velocity is constantly changing because its direction of travel is changing. Specifying a direction (like North, South-East, or an angle like 45°) transforms the scalar speed into a physical velocity vector.

Related kinematics calculators

Explore these companion kinematics and physics calculators:

Acceleration FormulaVelocity FormulaKinetic Energy FormulaSpeed CalculatorAcceleration Calculator

Related Calculators

More tools from Education

Acceleration CalculatorCalculate physical acceleration from a change in velocity over time (a = Δv/Δt) or from applied force and mass (a = F/m).

Frequently asked questions

Speed is a scalar quantity that measures how fast an object is moving regardless of direction (e.g., 60 mph). Velocity is a vector quantity that describes both how fast and in what direction the object is moving (e.g., 60 mph North).

The standard International System (SI) unit for velocity is meters per second (m/s). Other common units include kilometers per hour (km/h), miles per hour (mph), and feet per second (ft/s).

If you know the initial velocity (v₀), constant acceleration (a), and elapsed time (t), you can find the final velocity (v) using the kinematic equation: v = v₀ + at.

A vector quantity in physics and mathematics is an object that has two independent properties: a magnitude (length or size) and a direction. Force, acceleration, displacement, and velocity are all vector quantities.