Here are some common equations of motion:
For uniform motion (constant velocity):
* Position (x): x = x₀ + vt
* x₀ is the initial position
* v is the velocity
* t is the time
For uniformly accelerated motion (constant acceleration):
* Position (x): x = x₀ + v₀t + (1/2)at²
* x₀ is the initial position
* v₀ is the initial velocity
* a is the acceleration
* t is the time
* Velocity (v): v = v₀ + at
* v₀ is the initial velocity
* a is the acceleration
* t is the time
* Velocity squared (v²): v² = v₀² + 2aΔx
* v₀ is the initial velocity
* a is the acceleration
* Δx is the displacement
These equations can be used to predict the position, velocity, and acceleration of an object at any given time, assuming that the acceleration is constant.
Important notes:
* These equations apply to motion in one dimension. For motion in multiple dimensions, you need to consider vector quantities.
* These equations assume that the force acting on the object is constant. If the force is not constant, then the acceleration will not be constant, and these equations will not be accurate.
In addition to the above, there are also other equations of motion for specific situations, such as projectile motion or rotational motion.
