Wants To Vectors

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Slide 1  “Wants To…” Vector Solutions
 Using the Parallelogram Method

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?

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.

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
 = sin1[(11m/s)/(15m/s)]
 = 47.2o
 Answer: 47.2o N of E
 or
 42.8o
 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?