s = ut + (1/2)at²

where:

* s is the displacement (change in position)

* u is the initial velocity

* t is the time

* a is the acceleration (which is zero in uniform rectilinear motion)

Explanation:

Uniform rectilinear motion means an object is moving in a straight line with a constant speed. This implies:

* Constant velocity: The object's velocity doesn't change, meaning acceleration is zero (a = 0).

* Straight line motion: The object moves in a straight line without any curves or turns.

Since acceleration is zero, the equation simplifies to:

s = ut

This equation tells us that the displacement of the object is directly proportional to the time elapsed. In other words, the object covers equal distances in equal intervals of time.

Example:

If a car is traveling at a constant speed of 60 km/h, and it travels for 2 hours, its displacement can be calculated using the equation:

s = ut = 60 km/h * 2 h = 120 km

Therefore, the car would have traveled 120 kilometers in 2 hours.