A delivery truck travels 11 blocks north, 19 blocks east, and 24 blocks south. H

Question

A delivery truck travels 11 blocks north, 19 blocks east, and 24 blocks south. How many blocks is its final distance from the starting point ("as the crow flies")? Assume the blocks are equal length and give your answer as a pure number, without any units. Correct, computer gets: 23 7. [1pt] Refering to the previous problem, what is the angle of the final displacement relative to the east? Give your answer in degrees (use units of "deg") and remember that physicists usually count angles north of east as positive, and south of east as negative.

Explanation / Answer

The truck travells 11 blocks north and 19 blocks east and 24 blocks south then the net travelling in south direction = 24-11 = 13 blocks and in the east = 19 blocks.

The final distance will be magnitude of vector sum of these two displacements.

So the final distance = sqrt(13^2+19^2) = 23 blocks.

The angle relative to east = -tan^-1(13/19) = -34.38 degrees.

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