Equations of Motion Derivation
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Equations of Motion Derivation
Motion Variables and Relationships
Review the symbols and relationships used for motion with constant acceleration.
- u
- v
- a
- s
- t
- Final velocity
- Elapsed time
- Displacement
- Initial velocity
- Acceleration
- a = (u + v)/t
- a = (v − u)/t
- a = vt
- a = s/t
- (u + v)/2
- v − u
- uv
- u + v
Deriving the Equations
Use algebra and the constant-acceleration assumptions to complete each derivation.
Applying the Motion Equations
Treat upward as positive where stated. Use g = 32 ft/s² near Earth's surface.
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