please show steps: You are to make four straight-line moves over a flat desert f

Question

please show steps:

You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy coordinate system and ending at the xy coordinates (-154 m, 28 m). The x component and y component of your moves are the following, respectively, in meters: (20 and 60), then (bx and -70), then (-20 and cy), then (-60 and -70). What are (a) component bx and (b) component Cy? What are (c) the magnitude and (d) the angle (relative to the positive direction of the x axis) of the overall displacement? (a) Number Units (b) Number Units (c) Number Units (d) Number Units

Explanation / Answer

a) x comp = -154

20 + bx - 20 - 60 = -154

bx = -94 m

b) y comp = 28

60 - 70 +cy -70 = 28

cy = 108 m

c) hence

mag = root(154^2 + 28^2)

= 156.5 m

d) angle = tan inverse ( 28/ -154)

= - 10.30 deg

angle = 169.7 deg

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