Velocity Calculator
Speed, distance, time & acceleration
Calculation Mode
Distance
Time
All Calculated Values
Distance vs Time
Velocity Comparison
Speed Comparison of Objects
Compare speeds of various objects and phenomena
| Object/Phenomenon | Speed (m/s) | Speed (km/h) | Speed (mph) |
|---|
Interesting Facts
Human Sprint
Usain Bolt's top speed was 12.42 m/s (44.72 km/h or 27.78 mph)
Commercial Jet
Typical cruising speed is 250 m/s (900 km/h or 560 mph)
Speed of Sound
Speed of sound in air is 343 m/s (1235 km/h or 767 mph)
Speed of Light
Speed of light is 299,792,458 m/s (1.08 billion km/h)
Understanding Velocity & Motion
What is Velocity?
Velocity is the rate of change of position with respect to time. It's a vector quantity, meaning it has both magnitude (speed) and direction. Speed is the scalar magnitude of velocity.
- Formula: v = d/t (velocity = distance / time)
- Units: m/s, km/h, mph, knots
- Vector: Velocity has direction, speed does not
Basic Motion Formulas
The three basic equations of motion (constant velocity):
- Find Velocity: v = d/t
- Find Distance: d = v × t
- Find Time: t = d/v
Motion with Acceleration
When acceleration is involved, use these equations:
- Final Velocity: v = u + at
- Distance: d = ut + ½at²
- Velocity²: v² = u² + 2ad
- Where: u = initial velocity, a = acceleration, t = time, d = distance
Unit Conversions
Common velocity unit conversions:
- 1 m/s = 3.6 km/h
- 1 m/s = 2.237 mph
- 1 m/s = 1.944 knots
- 1 km/h = 0.278 m/s
- 1 mph = 0.447 m/s
Speed of Various Objects
- Human walking: ~1.4 m/s (5 km/h)
- Human running: ~3-5 m/s (10-18 km/h)
- Car (city): ~14 m/s (50 km/h)
- Car (highway): ~33 m/s (120 km/h)
- Speed of sound: 343 m/s (1235 km/h)
- Speed of light: 299,792,458 m/s
Real-World Applications
- Transportation: Calculating travel times and speeds
- Sports: Measuring athlete performance
- Astronomy: Calculating celestial object speeds
- Engineering: Designing vehicles and machinery
- Physics: Analyzing motion and forces
Key Takeaways
Speed vs Velocity
Speed is scalar (magnitude only), velocity is vector (magnitude + direction)
Acceleration
Acceleration is the rate of change of velocity over time
Unit Conversion
Always check units when solving physics problems
Speed of Light
The universal speed limit is 299,792,458 m/s
Understanding Velocity and Motion
Velocity is a fundamental concept in physics that describes the rate of change of position. It's a vector quantity with both magnitude (speed) and direction. Understanding velocity is essential for analyzing motion in physics, engineering, and everyday life.
Basic Motion Formulas
The three basic equations for constant velocity:
- Velocity: v = d/t (velocity = distance / time)
- Distance: d = v × t (distance = velocity × time)
- Time: t = d/v (time = distance / velocity)
Motion with Acceleration
When acceleration is involved, use these equations:
- Final Velocity: v = u + at
- Distance: d = ut + ½at²
- Velocity²: v² = u² + 2ad
- Where: u = initial velocity, a = acceleration, t = time
Unit Conversions
Common velocity unit conversions:
- 1 m/s = 3.6 km/h = 2.237 mph = 1.944 knots
- 1 km/h = 0.278 m/s = 0.621 mph
- 1 mph = 0.447 m/s = 0.869 knots
Using This Calculator
Follow these steps:
- Step 1: Select calculation mode (Velocity, Distance, Time, or with Acceleration)
- Step 2: Enter the known values with appropriate units
- Step 3: Click "Calculate" to find the unknown value
- Step 4: View results in multiple units (m/s, km/h, mph, knots)
- Step 5: Check the Compare tab for speed comparisons
- Step 6: Read the Guide tab to learn about motion formulas
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