Relative velocity and projectile motion problem solving

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SUMMARY

The forum discussion centers on solving a relative velocity and projectile motion problem, with participants reviewing a user's solution. The user has provided a detailed attempt, referencing kinematic equations to verify the time of flight and final landing position of a projectile. Feedback indicates that while minor arithmetic errors may exist, they do not significantly impact the final results, which are accurate to two significant figures. The discussion emphasizes the importance of clarity in numerical representation and the utility of algebra in problem-solving.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Familiarity with projectile motion concepts
  • Basic algebra skills for error checking
  • Knowledge of relative velocity principles
NEXT STEPS
  • Review the kinematic equations for projectile motion
  • Practice solving relative velocity problems using real-world scenarios
  • Learn techniques for error analysis in physics calculations
  • Explore advanced topics in projectile motion, such as air resistance effects
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in mastering projectile motion and relative velocity problem-solving techniques.

SAM31
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Homework Statement
Question 2:A golf ball is hit from 4.3 m above a golfing fairway with an initial velocity of 30.0 m/s at an angle of 35° above the horizontal.
A. Determine the time of flight for the ball.
B. Determine the range for the golf ball.
C. Determine the velocity for the golf ball the instant before the ball impacts the ground.
Relevant Equations
Pythagorean theorem equations
2.21.png

2.22.png

2.23.png


2.24.png
 
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It seems that you have a complete solution. Is there a question you wish to ask or are you posting a solution for the benefit of others?
 
kuruman said:
It seems that you have a complete solution. Is there a question you wish to ask?
I was wondering if someone could look over the steps to ensure I'm on the right track and provide me with any feedback!
 
Is this your solution or someone else's? If yours, it looks professional. I have not put in the numbers, but it looks right.
 
kuruman said:
Is this your solution or someone else's?
This is my own attempt at a solution for the question asked above
 
See edited post #4. If you wish to check your work, plug in the time of flight in the kinematic equations and see if the ball lands where you thought it would be.
 
Arithmetic errors creep in here:

1663678021724.png

but they do not affect the final results to 2sf, and otherwise it looks good.
 
SAM31 said:
This is my own attempt at a solution for the question asked above
All those long decimal numbers don't look good to me. This is why algebra was invented.
 
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