When nascar racers are in the daytona 500, they travel a distance of 500 miles. but because they finish exactly
where they started their displacement is:
o miles
250 miles
500 miles
1000 niles

Displacement, d = 0

Explanation:

It is given that,

Distance traveled by NASCAR racers, d = 500 miles

They finish exactly  where they started. The only difference between the     distance and displacement is the distance is the overall path covered and the displacement is the shortest path covered.

Here, the initial and final position of the racers is same i.e. 500 miles. So, their displacement is :

d = final position - initial position

d = 500 - 500

d = 0

So, their displacement is 0 miles. Hence, the correct option is (A).

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.