Equations
Velocity-displacement relation (constant acceleration)
Kinematics · id kin_v_squared
v^2 = v_0^2 + 2 a d
| Symbol | Quantity | Unit | Meaning | Usual range |
|---|---|---|---|---|
v | final velocity | m/s | Velocity after covering displacement d | 0 to 1000 |
v0 | initial velocity | m/s | Velocity at the start | 0 to 1000 |
a | acceleration | m/s^2 | Constant acceleration along the motion | 0 to 100 |
d | displacement | m | Displacement along the line of motion | 0 to 100000 |
Assumptions
- Acceleration is constant
- Motion is along a straight line
Valid when
- Speeds far below the speed of light
- No drag, or drag negligible over d
Found by
Questions with these words retrieve this equation: kinematics, free fall, falling, drop, dropped, fast, speed, velocity, impact, ground, height, constant acceleration.
Source
OpenStax University Physics Volume 1, Chapter 3 (reference; entry written by the project). License: MIT. Entry confidence: 0.99.