Analysis (8 points)

1. what tool(s) were used to measure in this activity? what units were used? (2 points)

2. what units for speed were used in this activity? (2 points)3. was a tool used to measure speed? if yes, what tool was used? if no, how was speed determined? (2 points)

4. can you think of a situation in which an instrument measures and indicates speed? (2 points)
conclusion (8 points)

write a brief summary for each of the following questions.

5. what was the purpose of this experiment? (2 points)

6. how did you determine speed? include your measurements and calculations. (2 points)

7. look at the results of the data in the graph. which gear caused the car to go fastest? which version of the car
was slowest? (2 points)

8. does the answer to the previous question support or refute your hypothesis? (2 points)

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.