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Physics

Motion in a Straight Line

Displacement in the nth second

Class 11
⚡ Quick Summary
This is how to calculate how far something moves during ONE specific second (like the 5th second). Don't mix it up with how far it moves in the first 5 seconds total!
s_t = u(1 s) + (a/2) * (2t - 1 s) * (1 s)
The displacement in the 'tth second' is given by: s_t = u(1 s) + (a/2) * (2t - 1 s) * (1 s), where 'u' is the initial velocity, 'a' is the acceleration, and 't' is the second you're interested in (e.g., the 5th second). Be careful with units! Make sure everything is in consistent units (meters, seconds, etc.). This formula calculates the displacement in that *single* second, not the total displacement up to that second.