Alexander Fufaev

Formula: Uniformly Accelerated Motion

Change of Position During Accelerated Motion WITH Initial Position and Velocity

Position

Unit
Current position \(x(t)\) of an accelerated object at time \(t\) on the \(x\) axis.

Initial position

Unit
Position of the object at the time \(t = 0\). It is usual to set the initial position \(x_0 = 0\). Then the position \(x(t)\) corresponds to the distance covered by the body after the time \(t\).

Initial velocity

Unit
Velocity with which the object starts the acceleration process. If the object starts from rest, then the initial velocity is \( v_0 = 0\).

Time

Unit
This is the time during which the object accelerates.

Acceleration

Unit
Uniform acceleration of the object. That means: Every second the current velocity of the body increases by the value \(a\).