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….
NO LINKS I WILL REPORT U

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Sapo 3 years 2021-08-11T18:45:38+00:00 1 Answers 53 views 0

Answers ( )

    0
    2021-08-11T18:47:22+00:00

    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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