Question 9.Do the math Calculate the average acceleration of the rock in the diagram using this question Please Help!! Been stuck on question sorry if it’s blurry

  9.8 m/s²

Explanation:

Fill in the blanks with the numbers from the diagram.

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You are told to start with t = 1 second and end at t = 4 seconds, so the elapsed time for which you're computing the acceleration is 4-1 = 3 seconds.

When you fill in your blanks, you probably want to put numbers only. I like to show the units in physics problems, just to make sure the math is right.

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.