Velocity Calculator

Calculate velocity from distance and time, acceleration, or average velocity with multiple calculation methods

Calculate Velocity

Total distance traveled by the object

Time taken to travel the distance

Velocity Results

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m/s
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km/h
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mph
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ft/s

Calculation Details

Formula: v = d / t

Distance: 0.00 m

Time: 0.00 s

Physics Insights

Speed category: Very slow

Velocity Analysis

Example Calculations

Car Velocity (Distance-Time)

Scenario: Car travels 500 meters in 3 minutes

Distance: 500 m

Time: 3 min = 180 s

Calculation: v = 500 m ÷ 180 s = 2.78 m/s

Result: 2.78 m/s ≈ 10 km/h ≈ 6.2 mph

Acceleration Example

Scenario: Car accelerates from 0 to final velocity

Initial velocity: 0 m/s (starting from rest)

Acceleration: 6.95 m/s²

Time: 4 seconds

Calculation: v = 0 + (6.95 × 4) = 27.8 m/s

Result: 27.8 m/s ≈ 100 km/h ≈ 62 mph

Average Velocity Example

Scenario: Object changes velocity over time

Initial velocity: 10 m/s

Final velocity: 30 m/s

Calculation: v_avg = (10 + 30) ÷ 2 = 20 m/s

Result: 20 m/s average velocity

Types of Velocity

1

Average Velocity

Total displacement ÷ total time

Vector quantity with direction

2

Instantaneous Velocity

Velocity at a specific moment

Derivative of position function

3

Terminal Velocity

Maximum velocity in free fall

When drag equals gravitational force

Physics Tips

Velocity is a vector quantity (has magnitude and direction)

Speed is scalar (magnitude only), velocity includes direction

Negative velocity indicates opposite direction

Constant velocity means zero acceleration

Units: m/s (SI), km/h, mph, ft/s

Understanding Velocity in Physics

What is Velocity?

Velocity is the rate of change of an object's position with respect to time. It's a vector quantity, meaning it has both magnitude (speed) and direction. Velocity tells us not only how fast an object is moving but also in which direction it's moving.

Velocity vs Speed

  • Speed: Scalar quantity (magnitude only) - how fast
  • Velocity: Vector quantity (magnitude + direction) - how fast and which way
  • Two objects with same speed can have different velocities if moving in different directions

Velocity Formulas

Basic Velocity

v = d / t

where d = distance, t = time

Velocity with Acceleration

v = u + at

where u = initial velocity, a = acceleration, t = time

Average Velocity

v_avg = (u + v) / 2

where u = initial velocity, v = final velocity

Applications of Velocity

  • Transportation: Vehicle speed limits, aircraft navigation
  • Sports: Ball velocity in baseball, swimming speeds
  • Engineering: Fluid flow rates, machinery operation
  • Astronomy: Orbital velocities, escape velocity

Important Velocity Concepts

  • Relative Velocity: Velocity of one object relative to another
  • Angular Velocity: Rate of rotation around an axis
  • Escape Velocity: Minimum speed to escape gravitational pull
  • Terminal Velocity: Maximum falling speed due to air resistance