Question

An adventurous dog strays from home, runs four blocks east, three blocks north, four blocks east, four blocks north, and five blocks west. Assuming that each block is about 100 m, how far (in m) from home and in what direction (in degrees counterclockwise from the east axis) is the dog? Use a graphical method.

Magnitude___762_____M

Direction____________ degrees counterclockwise from the east axis

I have the answer for magnitude but need help with direction.

Answer 1

The question can be solved by using a graph paper and plotting vectors A to E.

To find R ,draw a line from origin to end point of E.

Measure the length of vector R, which gives the magnitude.

The direction is the angle vector R makes with x axis (East), which  can be measured using a protractor.

Alternatively,

Add all vector from A to E

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Rearrange i and j terms

Magnitude

ANSWER:

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Direction

ANSWER:

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