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**Solution**: Ruth sets out to visit her friend Ward, who lives
40 mi
north
and 100 mi
east of her. She starts by driving east, but after
50 mi
she comes to a detour that takes her 15 mi
south before going east
again. She then drives east for 8 mi
and runs out of gas, so Ward
flies there in his small plane to get her.What is Wards displacement vector? Give your answer in component form, using a
coordinate system in which the y-axis points north.What is the magnitude of Wards displacement vector?What is the direction of Wards displacement vector, measured clockwise from the negative y axis?

###### Problem

Ruth sets out to visit her friend Ward, who lives
40 mi
north
and 100 mi
east of her. She starts by driving east, but after
50 mi
she comes to a detour that takes her 15 mi
south before going east
again. She then drives east for 8 mi
and runs out of gas, so Ward
flies there in his small plane to get her.

What is Wards displacement vector? Give your answer in component form, using a
coordinate system in which the y-axis points north.

What is the magnitude of Wards displacement vector?

What is the direction of Wards displacement vector, measured clockwise from the negative y axis?