Master Vector Problems: Tips for Solving Tricky Physics Equations

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SUMMARY

This discussion focuses on solving vector problems in physics, specifically regarding displacement calculations. The first problem involves a football player running 35 m downfield and then 15 m at a 25-degree angle, resulting in a total displacement of 49 m at an angle of 7.3 degrees. The second problem concerns a plane traveling 2.5 km at a 35-degree angle and then 5.2 km at a 22-degree angle, with the total displacement yet to be determined. Participants emphasize the importance of accurately drawing vector diagrams to visualize these problems effectively.

PREREQUISITES
  • Understanding of vector addition and displacement
  • Knowledge of trigonometric functions (sine, cosine)
  • Ability to draw and interpret vector diagrams
  • Familiarity with basic physics concepts related to motion
NEXT STEPS
  • Learn how to apply the Pythagorean theorem to calculate resultant vectors
  • Study the use of trigonometric functions in vector resolution
  • Practice drawing vector diagrams for complex motion scenarios
  • Explore the concept of vector components and their significance in physics
USEFUL FOR

This discussion is beneficial for first-year physics students, educators teaching vector concepts, and anyone seeking to improve their skills in solving vector-related problems in physics.

ch3570r
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Its my first year in a physics class, and I am having a few problems with two particular vector problems.

Im not sure how to actual draw out the diagrams for the problem.

Any help would be fully appreciated

(I know the answers for the first problem, but I want to know how to get it; 49m, 7.3degrees to the right of down field)
 
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Here are the problems again, just written out:

1. A football player runs directly down the field for 35 m before turning to the right at an angle of 25degrees from his original direction and running an additional 15 m before getting tackled. What is the magnitude and direction of the runner's total displacement? (answers are 49m, and 7.3degrees, but how do you get them??)

2. A plane travels 2.5 km at an angle of 35degrees to the ground, then changes direction and travels 5.2 km at an angle of 22degrees to the ground. What is the magnitude and direction of the plane's total displacement?? (I don't know the answer to this one)

I have tried drawing each of them out, but I am not sure if I am drawing them right. Is my diagram for the second problem right? (attachment)
 
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