Rules for the Game: Complete each problem by using the Recipe to Success [Problem-Solving Strategy]! Show ALL STEPS and ALL WORK either virtual
or NEATLY AND LEGIBLY on paper, YOU DECIDE.
Level 1: Ridgefield Roaming.
1. After school, you start out at RMHS and walk towards the tennis courts.
The tennis courts are approximately 150 meters away and it takes you 2 minutes
to reach the courts. What is your velocity during this time interval? [Express your
answer in meters per second]
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I
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2. Your friend walks alongside you as you leave the high school. How much
total time will it take them to get from RMHS to the community center, which is
approximately another 350 meters from the tennis courts. What assumption did
you have to make about your friend's motion?
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Step 2:
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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.