In uniformly accelerated motion, an object is moving in a straight line and its acceleration is constant. The equations of uniformly accelerated motion are used to describe the position, velocity, and acceleration of an object at a given point in time. The following are the most common equations of uniformly accelerated motion:
Position (x) = Initial position (x0) + Initial velocity (v0) * time (t) + 0.5 * Acceleration (a) * time (t)^2
Velocity (v) = Initial velocity (v0) + Acceleration (a) * time (t)
Acceleration (a) = Final velocity (v) - Initial velocity (v0) / time (t)
Time (t) = (Final velocity (v) - Initial velocity (v0)) / Acceleration (a)
Distance (s) = Initial velocity (v0) * time (t) + 0.5 * Acceleration (a) * time (t)^2
Final velocity (v) = Initial velocity (v0) + Acceleration (a) * time (t)
It's important to note that these equations are valid only when the acceleration is constant. If the acceleration of the object is changing, then a different set of equations, such as the equations of motion for non-uniform acceleration, must be used. Also, These equations are used to describe motion in one dimension and it's necessary to use vector equations to describe motion in multiple dimensions.