Please help me Physics physics!!!!!!!!?
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Please help me Physics physics!!!!!!!!? A girl delivering newspapers travels 1 blocks west, 1 blocks north, and then 7 blocks east. (a) What is her resultant displacement? _________° counterclockwise from east. (b) What is the total distance she travels? ______ blocks
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Answer:
Her displacement means the shortest distance between start and finish or in other words, the distance "as the crow flies". Total distance means how far did she actually walk. Now to calculate displacement she actually ended up going 1 block north and 6 blocks east (7 east - 1 west). Now draw an arrow pointing up (north) that is 1 cm long Next, draw another arrow to the right (east) starting from the tip of the first arrow. Make it 6 cm long. The displacement will be the length of a third arrow starting from the bottom of the 1 cm arrow and going to the tip of the second arrow. You just made a right triangle, so you can solve for the length of this last arrow using the formula a^2+b^2=c^2, so 1^2+6^2=c^2 or 1+36=c^2 c=sqrt of 37 = 6.08 blocks now you need to figure out the angle of the arrow you just drew... tan x = opposite length / adjacent length tan x = 6 / 1 = 6 no calculator handy, but x will be something like 70 degrees. To solve for degrees counterclockwise from east, if you made the triangle into a big rectangle, you can see that the angle counterclockwise from east is 90 degrees - 70(ish) degrees. You final answer for displacement would be 6.08 blocks 20(ish) degrees counterclockwise from east (otherwise known as north of east). The total distance she travels is just adding up all the blocks, so it is 1+1+7= 9 blocks
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