An object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
There isn't a specific mathematical equation representing this law. It's more of a qualitative statement about how objects behave in the absence of forces.
However, we can express it mathematically by considering its implication:
* If the net force acting on an object is zero, then the object's acceleration is zero. This is represented by:
ΣF = 0 => a = 0
Where:
* ΣF is the sum of all forces acting on the object
* a is the acceleration of the object
This equation means that if the forces acting on an object are balanced (sum to zero), the object will either remain at rest or continue moving at a constant velocity.
