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Halp i'm so confused I want to cry....
Three children are throwing a disc in the park. The first child throws the disc 32 m [W 14° S] to the second child, who then throws the disc 15 m [E 62° S]. What is the net displacement of the disc?

*the answer is 32m (W 41 S) Please explain how to do this....
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Answer:

Evidently W 14 S means West and to the South by 14 deg

If you draw the X-Y coordinates and enter this value

Tx1 = - 32 * cos 14 = -31     (along the negative x-axis)

Ty1 = -32 * sin 14 = -7.4     (along the negative y-axis)

Likewise

Tx2 = 15 * cos 62 = 7.04

Ty2 = -15 * sin 62 = -13.2

Tx = -31 + 7.04 = -24

Ty = -7.4 - 13.2 = -20.6

Final distance = (24^2 + 20.6^2)^1/2 = 31.6 m

Direction will be South of West

tan -20.6 / -24 = 41 deg

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