Wants To Vectors

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Wants To Vectors

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  1. “Wants To…” Vector Solutions

    Slide 1 - “Wants To…” Vector Solutions

    • Using the Parallelogram Method
  2. “Wants to…” Problem

    Slide 2 - “Wants to…” Problem

    • Tom can swim 15 m/s in still water. He wants to swim straight East across a river that is flowing South at 11 m/s. What direction should he swim?
  3. “Wants to…” Problem

    Slide 3 - “Wants to…” Problem

    • You are given one component and the resultant.
    • You need to find the other component.
    • Build the parallelogram.
    • You have a side and the diagonal.
    • Solve for the other side using the Pythagorean theorem.
    • Find the direction using sin, cos, or tan.
  4. Tom can swim 15 m/s in still water.  He wants to swim straight East across a river that is flowing South at 11 m/s.  What direction should he swim?

    Slide 4 - Tom can swim 15 m/s in still water. He wants to swim straight East across a river that is flowing South at 11 m/s. What direction should he swim?

    • 11 m/s
    • 15 m/s
    • sin = opp/hyp
    •  = sin-1[(11m/s)/(15m/s)]
    •  = 47.2o
    • Answer: 47.2o N of E
    • -or-
    • 42.8o
    • 11 m/s
  5. 11 m/s

    Slide 5 - 11 m/s

    • 15 m/s
    • c2 = a2 + b2
    • a2 = c2 - b2
    • a = (15m/s)2-(11m/s)2
    • a = 10.2m/s
    • t = d/v
    • t = (125m)/(10.2m/s)
    • t = 12.3s
    • 11 m/s
    • Tom can swim 15 m/s in still water. He wants to swim straight East across a river that is flowing South at 11 m/s. What direction should he swim?How long will it take him to swim across the 125m wide river?