Adrag racer starts from rest and
accelerates at 10 m/s2. how far will he
travel in 6 seconds? use the appropriate
kinematic equation(s) given to determine
the answer.
round to one decimal place, do
not include units in your
!

The distance in meters traveled by the drag racer in 6 seconds is 180.

Explanation:

Given:

A drag racer starts from rest. So, initial velocity of the drag racer,

Time taken is,

Acceleration of the drag racer is,

Now, we are asked to find how far will he reach in 6 seconds. So, we are asked the displacement, 'd'.

We use the following kinematic equation to find 'd'.

Plug in the given values and solve for 'd'. This gives,

Therefore, the distance in meters traveled by the drag racer in 6 seconds is 180.

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.