What is the distance traveled in the nth second?

In summary, the formula x=7t+12t2 describes the distance of a particle from the origin after t seconds. The distance traveled by the particle in the nth second can be calculated by subtracting the distance at time n-1 from the distance at time n. The equation n+1 does not represent the distance traveled, as it refers to time, not distance.
  • #1
lionely
576
2

Homework Statement


A particle moves along the x-axis in such a way that its distance x cm from the origin after t
t seconds is given by the formula x= 7t + 12t2. What distance does it travel in the nth second?

Isn't it 7(n) + 12(n)2?
 
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  • #2
lionely said:
Isn't it 7(n) + 12(n)2?

Nope.
 
  • #3
distance it travels in the nth second = x(n) - x(n-1)
 
  • #4
Oh ... thank you.
 
  • #5
n+1 would be the distance traveled in each second after?
 
  • #6
lionely said:
n+1 would be the distance traveled in each second after?

Show how? I doubt it.
 
  • #7
lionely said:
n+1 would be the distance traveled in each second after?
No! "n" is not a distance at all. "n" and so "n+1" are times not distances.
 

Related to What is the distance traveled in the nth second?

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