Vectors and angles word problem

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SUMMARY

The discussion focuses on a physics problem involving vectors and angles related to a ski slope. The slope is inclined at an angle of θslope = 29.0° with the horizontal, while the maximum displacement of splashed snow is 1.70 m at an angle of θsnow = 19.0° from the vertical. To solve the problem, participants need to determine the components of the displacement vector both parallel and perpendicular to the slope's surface. The calculations involve trigonometric functions to resolve the vector into its components.

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  • Understanding of basic trigonometry, specifically sine and cosine functions.
  • Familiarity with vector resolution techniques in physics.
  • Knowledge of angles and their representation in two-dimensional space.
  • Ability to apply concepts of displacement in a physics context.
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  • Learn how to resolve vectors into components using trigonometric functions.
  • Study the principles of inclined planes in physics.
  • Explore vector addition and subtraction in two dimensions.
  • Investigate real-world applications of vectors in sports physics.
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Students studying physics, educators teaching vector resolution, and anyone interested in the mechanics of sports involving slopes and angles.

joedango
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A snow-covered ski slope makes an angle of θslope = 29.0° with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.70 m at θsnow = 19.0° from the vertical in the uphill direction as shown in the figure below.

3-p-026-alt.gif


(a) Find the component of its maximum displacement parallel to the surface.

(b) Find the component of its maximum displacement perpendicular to the surface.

I don't know what component is parallel to the surface. I also don't know where the 1.70m goes
 
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I believe that 1.7 m is the length of the vector with the little snow ball on top of it. Create vectors parallel and perpendicular to the slope for the 1.7 meter vector
 

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