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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]
Question
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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Physics
3 years
2021-08-11T18:45:38+00:00
2021-08-11T18:45:38+00:00 1 Answers
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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