promotion image of download ymail app
Promoted
Anonymous
Anonymous asked in Science & MathematicsPhysics · 2 months ago

Magnitude and velocity solving (physics)?

Can someone please help? This problem is on my practice study guide for my physics exam, but I don't fully understand the material. Can someone please solve it out step by step and explain to me how to do it? Thanks so much!

There is a rock in a forest. A deer is 15m at 56.68595° south of west from the rock. A bear is 20m at 54.41424° north of west from the rock. What is the position of the deer relative to the bear? P.s. The answer is 29m at 83.26708° south of east. 

1 Answer

Relevance
  • 2 months ago
    Favorite Answer

    I think the best way to do these is to rewrite the angles on a 360° circle:

    A deer is 15m at 56.68595° south of west from the rock 

    = 180°+56.68595° = 15m at 236.68595°. 

    A bear is 20m at 54.41424° north of west from the rock 

    = 20 at 180 -54.41424 = 20m at 125.58576°

    What is the position of the deer relative to the bear? P.s. The answer is 29m at 83.26708° south of east. 

    Find the horizontal distance:

    15*cos236.68595 -20*cos125.58576 = 3.4

    Find the vertical distance:

    15*sin236.68595 -20*sin125.58576 = -28.8

    3.4²+28.8² = 29²

    arctan(-28.8/3.4) = -83.26708°

    You must draw a triangle to understand this

    • Commenter avatarLogin to reply the answers
Still have questions? Get your answers by asking now.