The distance traveled by a particle along the x-axis, defined by the equation x = 7t + 12t², can be calculated for the nth second using the formula distance = x(n) - x(n-1). This formula clarifies that "n" and "n+1" represent time intervals, not distances. Misinterpretations of the formula, such as assuming distance equals 7(n) + 12(n)², are incorrect. Understanding the distinction between time and distance is crucial for solving such problems accurately.
PREREQUISITESStudents studying physics, mathematics enthusiasts, and anyone interested in understanding motion along a linear path.
lionely said:Isn't it 7(n) + 12(n)2?
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.lionely said:n+1 would be the distance traveled in each second after?