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Sketch a diagram describing the given situation, and then find the resultant of two vectors.
See solution.
We are given that Amy is paddling her canoe across the lake at a speed of 10 feet per second headed due north and that the wind is blowing 40^(∘) east of north with a velocity of 2.8 feet per second. Let's begin with sketching a diagram describing the given situation.
The blue vector represents Amy's velocity and the green one represents the wind velocity. To find the resultant velocity of these two vectors, we can add the vectors by using the Parallelogram Method. The first step in this method is to complete the parallelogram formed by our vectors.
Next we will draw a diagonal of this parallelogram. This diagonal represents the resultant of these two vectors. We will call it v.
Vector v is Amy's resultant velocity.