Vector Resolution

Today we started off with Lindsey's presentation on the physics of a football's flight. Next we corrected a quiz from Science 10 for Mr. Banow. We read the new blog post which was done by UNGER. Then we started the lesson for the day which was continuing the idea of vector resolution...

If vectors are not perpendicular, we can still add them algebraically by first breaking the vectors down into their x and y components.

You need to use your trig functions: sin and cos

$cos = x component$ $sin = y component$

Steps for Problems Needing Vector Resolution

1. Write down the given information and determine the angle for each vector. Call the angle sigma and measure it counterclockwise from the positive x-axis (principle angle).

2. Break each vector down into its x and y components

• x component of the vector is given by Vx = Vcos(sigma)
• y component is given by Vy = Vsin(sigma)

3. Add the collinear vectors algebraically. You will now have one y vector (positive means North) and one x vector (positive means East).

4. Use the Pythagorean Theorem to determine the magnitude of the resultant vector.

5. Use a trigonometric ratio to determine the angle of the resultant vector.

We did an example about a football player who ran 5.0 m[N36E], 12 m[N51W], and 15 m [S73E]. We had to determine the resultant vector. *Because our vectors aren't perpendicular to each other, we must use vector resolution. We did the example and Mr. Banow said "Yes it is a lot of work but, it is relatively easy if you understand it."

Jordan C. or Brittney is doing the next blog after their hardcore RPS match.