Suppose you first walk 14 m in a direction 20 degree west of north and when 22 m

Question

Suppose you first walk 14 m in a direction 20 degree west of north and when 22 m in a direction 40 degree south of west as shown in the figure. Part (a) What is the component of your displacement in the x-direction. in meters? Part (b) What is the component of your displacement in the y-direction. in meters? Part (c) How tar are you from your starting point in meters? Part (d) What is the angle of a line connecting your starting position to your final position to your final position, measured South of West, in degrees?

Explanation / Answer

Rx = -14*sin 20°-22*cos 40 = -21.642m
Ry = 14*cos 20°-22*sin 40 = -12.065m
R = 21.642^2+12.065^2 = 24.78 m
angle = arctan(12.065/21.642)

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