Problems with kinematics equations

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SUMMARY

This discussion focuses on solving kinematics problems involving acceleration, velocity, and displacement. Key equations such as v_2 = v_1 + at and a = (v_2 - v_1)/t are utilized to derive final velocities and average accelerations in various scenarios, including an arrow striking a target and a hockey puck rebounding from a board. Participants clarify the importance of distinguishing between initial and final velocities, as well as the correct application of time intervals in calculations. The discussion emphasizes the need for careful substitution of values in equations to avoid common mistakes.

PREREQUISITES
  • Understanding of kinematics equations, specifically v_2 = v_1 + at and a = (v_2 - v_1)/t
  • Familiarity with vector components and their application in physics
  • Knowledge of average acceleration and its calculation
  • Ability to derive equations for constant acceleration
NEXT STEPS
  • Study the derivation of kinematic equations from basic principles
  • Learn how to break down vectors into their components for complex motion problems
  • Explore the concept of average acceleration in different contexts, such as collisions
  • Practice solving various kinematics problems to reinforce understanding of the equations
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of problem-solving techniques in motion analysis.

  • #31
Doc Al said:
The angle between the sides is not 136, but 44. (But the resulting magnitude is the same.) Draw a picture to clarify the angles involved. I assume "22 degrees to the board" means that the velocity makes a 22 degree angle with the surface of the board.

How is it 44? The velocities make a v shape with the board, 22 degrees to the board each way. Knowing that the board is 180 degrees, the angle between them should be 180 - (22 + 22), shouldn't it?
 
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  • #32
Byrgg said:
How is it 44? The velocities make a v shape with the board, 22 degrees to the board each way. Knowing that the board is 180 degrees, the angle between them should be 180 - (22 + 22), shouldn't it?
That's the angle between those velocity vectors, but it's not the angle in the triangle that defines the difference between those two vectors:
\vec{v}_f - \vec{v}_i

Again, draw a picture.
 
  • #33
Ok, I'll draw a picture later at some point, I'm at school right now, so I can't really draw it now, but I'll make one at home, and show exactly how the diagram is set up. Hopefully then you'll be able to help me get a better understanding of this. How long will it take to get an attachment approved, approximately? Or could I just use an image hosting site, and post a link to the diagram?
 
  • #34
Byrgg said:
How long will it take to get an attachment approved, approximately?
If someone's paying attention, about 2 seconds.

Or could I just use an image hosting site, and post a link to the diagram?
That's OK too.

Be sure to label everything in the diagram clearly.
 

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