Ron standing 1m far from a sensor moves away from the sensor for ron then halts for 2 seconds, and notes down these values. ron then walks to where the sensor was kept at a speed of 3m/s for the next 2 seconds a) draw a position time graph for this. [x - axis -time (s) y-axis position (m)] b) find out the distance from the sensor at time t 4 seconds. c) calculate the slope at t-6 seconds d) what you infer from the value obtained in (c)?

b.

hope this : )

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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.