Jill takes a walk to the grocery store at a speed of 1.8 m/s in the west directi

Question

Jill takes a walk to the grocery store at a speed of 1.8 m/s in the west direction. At the same time, Mike bikes to the same grocery store with a speed of 5.5 m/s due north. Find the velocity vectors of Jill and Mike with respect to the ground, followed by the magnitude and direction of Mike's speed in Jill's reference frame. A plane is flying with a speed of 204.0 m/s and direction 11.3 degrees north of east relative to the ground. At the same time, the air is moving with a speed of 40.0 m/s north with respect to the ground. Find the Cartesian components of the plane's velocity with respect to the ground, followed by its direction with respect to the air. 5.

Explanation / Answer

4. vJ = -1.8 m/s i ......Ans

vM = 5.5 m/s j ......Ans

vM_J = vM - vJ = 5.5j + 1.8i

magnitude =sqrt(1.8^2 + 5.5^2) = 5.8 m/s ....Ans

direction = tan^-1(5.5/1.8) = 72 deg North of east

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