1. Velocity-Time Relationship:
* Formula: v = u + at
* Explanation:
* v = final velocity
* u = initial velocity
* a = acceleration
* t = time
2. Displacement-Time Relationship:
* Formula: s = ut + (1/2)at²
* Explanation:
* s = displacement (change in position)
* u = initial velocity
* a = acceleration
* t = time
3. Velocity-Displacement Relationship:
* Formula: v² = u² + 2as
* Explanation:
* v = final velocity
* u = initial velocity
* a = acceleration
* s = displacement
Important Notes:
* Direction: These formulas assume that all quantities (velocity, displacement, and acceleration) are in the same direction. If they are not, you'll need to consider their signs carefully.
* Units: Make sure your units are consistent. For example, if velocity is in meters per second (m/s), then acceleration should be in meters per second squared (m/s²).
* Derivation: These formulas are derived from the definitions of velocity, acceleration, and displacement.
