A postal employee cd driver a delivery truck along the route displayed in figure 1.1. Determine the magnitude and also direction that the resultant displacement by illustration a scale diagram.




You are watching: Determine the magnitude of the resultant displacement by drawing a scale diagram.

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Video Transcript

so we'LL pick a compass choose this appropriate Words is eastwards and also upwards is not currently The postman has moved two point six kilometers northwards top top then four kilometers eastwards and also in three suggest one kilometers in ~ an angle of fourty five degrees not of east. Currently we need to discover the result displacement from right here to hear and also resulting displacement Vector would certainly be this the the fight. We can uncover out director's magnitude and direction by finding out the sex and an ext confidence now because the three allude one kilometers this vector is in ~ an edge of forty 5 degrees, we deserve to see the the ex compliment over there is the ex is actual confident is t want one expense forty five whereas the conference is three allude one authorize for different now why would plugging this into a calculator? We can see the both that them room equal and also they will perform to point one nine kilometers. They're equal because cost forty five is equal to authorize for it. And also this ranges to desire one ripe kilometers ~ above this distance is to want one nine kilometers. Now we deserve to see the if this is the final displacement vector, it's ex i was sure is this. Part ofthe 4 kilometres ~ above two suggest one nine kilometers which would certainly be six allude one ripe hungers and also it's why confident will certainly be one 6 kilometers. Let's two point one nine kilometers, which will make the four suggest seven nine kilometers. We can find out the magnitude making use of by tiger steer. It would be the square root turn off the sounds of the squares that the site, which would certainly be six suggest one nine squared. That's four allude seven mine squared. I'm liking this into a calculator. We deserve to see the this is equal to seven allude eight three meters now. We additionally need to discover out this edge now. If we speak to this edge Tita, climate it's the contrary side will be for one, seven, ripe meters. Currently we can, right? Aunt Tita is a weirdo the opposite side divided by a just inside, which would certainly be 4 one seven nine split by six allude one nine. Therefore it would certainly be same to dying you yourself for one 7 mine separated by six point one night while playing this inter calculator, we can see that this Tita is thirty seven point seven 3 degrees. Because this is eastern or direction on, we're turning. Not this would be no off east