Projectile motion on an inclined plane

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SUMMARY

The discussion focuses on the problem of determining the optimal launch angle (θi) for a projectile fired up an incline with angle ϕ, maximizing the distance (dmax) traveled. Participants emphasize the importance of correctly inputting equations into the software to avoid syntax errors. The key equations involve the initial speed (vi) and gravitational acceleration (g), with specific attention to the angle measurements in radians. The consensus is that understanding the required format for input is crucial for successful problem-solving.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions and angles in radians
  • Knowledge of kinematic equations related to motion
  • Experience with programming syntax for mathematical software
NEXT STEPS
  • Research the derivation of projectile motion equations on inclined planes
  • Learn how to format equations for input in mathematical software
  • Explore the effects of varying incline angles (ϕ) on projectile distance
  • Investigate common syntax errors in programming related to physics simulations
USEFUL FOR

Students studying physics, educators teaching projectile motion concepts, and anyone involved in programming simulations of motion on inclined planes.

steph35
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Homework Statement


A projectile is fired up an incline (incline angle ϕ) with an initial speed vi at an angle θi with respect to the horizontal.



Homework Equations


For what value of θi is d a maximum, and what is that maximum value? (Use v_i for vi, phi for ϕ, and g as appropriate. ϕ is in radians.)

θ>">i =
dmax =


The Attempt at a Solution


Ok so I get so confused with these problems...I did it but the program i have to put it into keep saying syntax error, I don't know if i am wrong or if the program just isn't reading it right...
 
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Hi steph35,

steph35 said:

Homework Statement


A projectile is fired up an incline (incline angle ϕ) with an initial speed vi at an angle θi with respect to the horizontal.



Homework Equations


For what value of θi is d a maximum, and what is that maximum value? (Use v_i for vi, phi for ϕ, and g as appropriate. ϕ is in radians.)

θ>">i =
dmax =


The Attempt at a Solution


Ok so I get so confused with these problems...I did it but the program i have to put it into keep saying syntax error, I don't know if i am wrong or if the program just isn't reading it right...


If it is responding with syntax error, I would think that you are just not inputting your answer in the form that the program needs it to be in.
 

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