Jill begins at the origin and walks directly northeast a distance of 250 m. She

Question

Jill begins at the origin and walks directly northeast a distance of 250 m. She then walks directly south a distance of 400 m. She then heads directly east a distance of 100 m. What is her resultant displacement?Jill begins at the origin and walks directly northeast a distance of 250 m. She then walks directly south a distance of 400 m. She then heads directly east a distance of 100 m. What is her resultant displacement?

If Jill walked with an average speed of 1.5 m/s, what were the x and y-components of her average velocity?

Explanation / Answer

r1 = 250(cos(45)i + sin(45)j)
r2 = -400j
r3 = 100i
s = r1 + r2 + r3 = 276.77 i - 223.223 j
|s| = 355.57 m

Vav = 1.5 m/s
x component = 1.5*276.77/355.57 = 1.167 m/s
y component = 1.5*223.223/355.57 = 0.941 m/s

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