What represents displacement at the nth second in motion equations?

The equation that accurately represents the displacement at the nth second in uniformly accelerated motion is derived from the principles of kinematics. The correct choice illustrates that the displacement during the nth second relies on the initial velocity, the acceleration, and the specific characteristics of motion over that time interval.

In the context of uniformly accelerated motion, the displacement during the nth second can be expressed using the formula that considers the total displacement achieved so far and the specific contributions from the applied acceleration. The equation effectively takes into account both the initial velocity at the start of this nth second and the increment in displacement due to the acceleration during this specific time frame.

The term u represents the initial velocity, while the variable a denotes the acceleration. The displacement calculation accounts for the cumulative effect of motion, effectively showcasing how both the velocity and acceleration contribute to the distance covered specifically during that nth second.

Other choices represent different aspects of motion but do not correctly reflect the displacement specifically during the nth second:

• The second option uses a linear relation with n, while displacement involves the square of time due to the acceleration factor.

• The third option expresses the total displacement from the start to time n, but does not isolate the displacement specifically for the nth second.

• The fourth option provides an average method of