Distance traveled by the object in n-th second

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SUMMARY

The distance traveled by an object in the n-th second is calculated by subtracting the distance covered in the first (n-1) seconds from the distance covered in the first n seconds. This concept is crucial for understanding motion in physics, particularly in kinematics. The relevant equation is S = S_o + v_o + (1/2)at^2, which describes the position of an object under constant acceleration. The distinction between the n-th second and the (n-1) second is essential for precise calculations in physics.

PREREQUISITES
  • Understanding of kinematics and motion equations
  • Familiarity with the equation S = S_o + v_o + (1/2)at^2
  • Basic knowledge of acceleration and velocity
  • Ability to perform unit conversions in physics
NEXT STEPS
  • Study the derivation of the distance formula for uniformly accelerated motion
  • Learn about the implications of different units of measurement in physics
  • Explore examples of calculating distance traveled in specific time intervals
  • Investigate the concept of instantaneous velocity and its relation to distance
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for clear explanations of motion concepts.

niett
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Homework Statement
I dont understand what this mean lol
Relevant Equations
S = S_o + v_o + \frac{1}{2}at^2
Screenshot_1.png

Hi! I don't understand why is made the difference between the n second and the (n - 1) second. Can anyone help me? Thanks!
 
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niett said:
Homework Statement:: I don't understand what this mean lol
Relevant Equations:: S = S_o + v_o + \frac{1}{2}at^2

View attachment 281778
Hi! I don't understand why is made the difference between the n second and the (n - 1) second. Can anyone help me? Thanks!
The distance traveled in the nth second is the distance traveled in the first n seconds minus the distance traveled in the first n-1 seconds.
But why anyone would bother to develop such an equation (to be remembered?) is beyond me, especially since it breaks down if using different units for time.
 

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