A delivery truck travels 21 blocks north, 17 blocks east, and 26 blocks south. What is its final displacement from the origin (magnitude)? Assume the blocks are equal length.

Respuesta :

This should be a simple a problem. All you have to do is set up a triangle. The truck travels 21 blocks north and 26 blocks south, that means that the truck travels 5blocks south: 21 blocks north+26 blocks south= -5 block north=5 blocks south The truck travels 17 east. Now set up a triangle, The triangle will have a height of 5and base of 17. To find the magnitude of displacement, use the pythag. 5^2+17^2=c^2 = 17.72 So the truck is17.72blocks away from the starting point. Now to find the direction, you will need to use basic trig: so tanx=height/base, x=tan-1(height/base)=tan-1(5/17)=-3.30 Remember that the net travel was in the south direction, therefore the direction will be -3.30degrees.
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