Adelivery 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.

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.