A postal employee drives a delivery truck along the route shown in number 1.1. Recognize the magnitude and also direction of the result displacement by drawing a range diagram.




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Video Transcript

so we'LL pick a compass prefer this appropriate Words is eastwards and also upwards is not now The postman has actually moved two suggest six kilometers northwards top top then four kilometers eastwards and in three suggest one kilometers in ~ an angle of forty five degrees not that east. Currently we need to discover the resulting displacement from here to hear and resulting displacement Vector would certainly be this of the fight. We can find out director's magnitude and direction by finding the end the sex and an ext confidence now since the three suggest one kilometers this vector is in ~ an angle of forty 5 degrees, we deserve to see the the ex compliment there is the ex is genuine confident is t want one expense forty five whereas the conference is three allude one sign for various now why would certainly plugging this right into a calculator? We have the right to see the both of them are equal and they will do to point one nine kilometers. They're equal because cost forty 5 is equal to authorize for it. And this distances to desire one ripe kilometers on this distance is to desire one ripe kilometers. Now we deserve to see the if this is the final displacement vector, it's ex i was sure is this. Part ofthe four kilometres top top two point one nine kilometers which would be six point one ripe hungers and also it's why confident will certainly be one 6 kilometers. Let's two point one ripe kilometers, which will make that four point seven nine kilometers. We can discover out its magnitude using by tiger steer. It would be the square root off the sounds of the squares the the site, which would certainly be six suggest one ripe squared. That's four suggest seven mine squared. I'm liking this into a calculator. We deserve to see the this is same to seven suggest eight three meters now. We additionally need to discover out this edge now. If we speak to this edge Tita, then it's opposite side will be for one, seven, ripe meters. Currently we can, right? Aunt Tita is a weirdo opposite side divided by a just inside, which would be four one 7 nine split by six suggest one nine. Hence it would certainly be same to dying yourself for one 7 mine split by six allude one night while playing this inter calculator, we can see that this Tita is thirty seven point seven three degrees. Due to the fact that this is east or direction on, we're turning. Not this would certainly be no off east