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Aim: How can we determine the x (horizontal) and y (vertical) components of a vector?

Aim: How can we determine the x (horizontal) and y (vertical) components of a vector?. Do Now: Draw a vector that is 35 m/s 30° North of West Scale: 1 cm = 5 m/s. N. 35 m/s. 30°. W. E. S. Measure the x and y components.

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Aim: How can we determine the x (horizontal) and y (vertical) components of a vector?

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  1. Aim: How can we determine the x (horizontal) and y (vertical) components of a vector? Do Now: Draw a vector that is 35 m/s 30° North of West Scale: 1 cm = 5 m/s N 35 m/s 30° W E S

  2. Measure the x and y components • Draw a perpendicular line from the head of the vector to the vertical axis • Repeat for the horizontal axis • Measure • Multiply by the scale (1 cm = 5 m/s) 6.1 cm = 30.5 m/s N 35 m/s 3.6 cm 30° = 18 m/s W E S

  3. Solving Mathematically • Use trigonometry SOHCAHTOA Solving for the vertical (y) component: Solving for the horizontal (x) component: N x 35 m/s y 30° W S

  4. Solve both graphically and mathematically 80 N 50° East of North Scale: 1 cm = 20 N N 80 N 50° W E S

  5. Solving for the horizontal (x) component: Solving for the vertical (y) component: N 3.1 cm = 62 N 80 N 50° 2.7 cm = 54 N W E S

  6. So which method of obtaining the horizontal and vertical components is more accurate and why?

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