S=u-a/2(2n-1)....it is the distance travelled in the particula fixed time...
Ex:-distance travelled in the 6th second..
S=ut-1/2 at^2...it is the distance travelled through the journey...
Ex:-distance travelled in 6 seconds..

Difference between equations S=ut-1/2at^2 and Snt=u-a/2(2n-1)
The two equations mentioned, S=ut-1/2at^2 and Snt=u-a/2(2n-1), represent different formulas for calculating displacement (S) in terms of initial velocity (u), acceleration (a), and time (t or n).

Equation 1: S=ut-1/2at^2
- This equation is a basic kinematic equation used to calculate displacement when the acceleration is constant.
- It involves the initial velocity (u), time (t), and acceleration (a).
- The term 1/2at^2 represents the change in position due to acceleration.

Equation 2: Snt=u-a/2(2n-1)
- This equation appears to be a modified version of the first equation, with the inclusion of the variable n.
- It introduces the concept of multiple time intervals (nt) and their impact on displacement.
- The term a/2(2n-1) seems to suggest a more complex relationship between acceleration, time intervals, and initial velocity.

Key Differences:
1. The first equation is a simpler form of the kinematic equation, while the second equation seems to involve multiple time intervals (nt) and a more intricate relationship between variables.
2. Equation 1 focuses on displacement due to constant acceleration, whereas Equation 2 introduces the concept of multiple time intervals affecting displacement.
In conclusion, while both equations deal with displacement in relation to initial velocity, acceleration, and time, the second equation appears to be a more complex version that incorporates multiple time intervals into the calculation of displacement.