Trajectory of a Projectile that must clear an obstruction

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Discussion Overview

The discussion revolves around calculating the vertical component of velocity (Vy) for a projectile that must clear an obstruction (a wall) while still reaching a target at a specified horizontal distance (X2). Participants explore the relationship between the initial velocity components, the trajectory of the projectile, and the constraints imposed by the wall's height and the target's position.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks to determine Vy given Vx, while expressing uncertainty about how to account for the obstruction represented by the wall.
  • Another participant suggests that time is a critical factor in determining the projectile's vertical position at X1, emphasizing the need for a parabolic trajectory model.
  • Some participants propose writing expressions for the vertical and horizontal positions as functions of time to solve for Vy.
  • There is a discussion about the necessity of adjusting both Vx and Vy to ensure the projectile clears the wall and reaches the target.
  • One participant mentions that the problem involves an overdetermined system due to the specification of three points, which may complicate finding a solution.
  • Another participant highlights the need to ensure that the projectile's height at X1 is greater than the wall's height (Y2) rather than equal to it.
  • There is a repeated emphasis on the challenge of solving for Vy while considering the variable nature of X1 and X2 in the context of the projectile's trajectory.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the problem, with no consensus on a single method or solution. Some participants agree on the importance of time and trajectory equations, while others question the feasibility of certain assumptions and the need for trigonometry.

Contextual Notes

Participants note that the problem may involve complexities due to the variable nature of X1 and X2, and there are unresolved mathematical steps regarding the relationship between the components of velocity and the projectile's trajectory.

  • #31
tchpowdog said:
Now I have my parabolic equation. From this, I find the tangent line at point ##(x_1,y_1)## by taking the derivative of my equation, finding the slope, pluggin that back, etc. From here, I can calculate an angle ∅ of the initial trajectory.

What do you do in the "ect"? I'm trying to make a tennis game and i was trying to understand how dows this works but it is hard... If you could help me I would appreciate it very much!
 
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  • #32
J0TA said:
What do you do in the "ect"? I'm trying to make a tennis game and i was trying to understand how dows this works but it is hard... If you could help me I would appreciate it very much!
Are you the guy that commented on my YouTube video?

The "etc" part is solving for Y (which gives you the magnitude of the force needed). I will try to zip my Unity project up and send it to you somehow. It will be later today or tomorrow. I am having surgery in about 2 hours, so I will be in pain for a while.
 
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  • #33
OMG Thank you very very much! Hope your surgery went well
 
  • #34
tchpowdog said:
Are you the guy that commented on my YouTube video?

The "etc" part is solving for Y (which gives you the magnitude of the force needed). I will try to zip my Unity project up and send it to you somehow. It will be later today or tomorrow. I am having surgery in about 2 hours, so I will be in pain for a while.
I don't wat to pressure you and hope you recovered fine but are you still going to share your project? It would help me a lot!
 
  • #35
tchpowdog said:
Are you the guy that commented on my YouTube video?

The "etc" part is solving for Y (which gives you the magnitude of the force needed). I will try to zip my Unity project up and send it to you somehow. It will be later today or tomorrow. I am having surgery in about 2 hours, so I will be in pain for a while.

Could you just say anything please?
 
  • #36
you didn't replied for a month... if you see this pleeeeese send me your Unity progect to joaonunodiasleitao@gmail.com! I tried to recriate it but i coundn't make the same effect... Hope you recovered well from your surgery!
 
  • #37
tchpowdog said:
Are you the guy that commented on my YouTube video?

The "etc" part is solving for Y (which gives you the magnitude of the force needed). I will try to zip my Unity project up and send it to you somehow. It will be later today or tomorrow. I am having surgery in about 2 hours, so I will be in pain for a while.
tchpowdog said:
Are you the guy that commented on my YouTube video?

The "etc" part is solving for Y (which gives you the magnitude of the force needed). I will try to zip my Unity project up and send it to you somehow. It will be later today or tomorrow. I am having surgery in about 2 hours, so I will be in pain for a while.
tchpowdog said:
Are you the guy that commented on my YouTube video?

The "etc" part is solving for Y (which gives you the magnitude of the force needed). I will try to zip my Unity project up and send it to you somehow. It will be later today or tomorrow. I am having surgery in about 2 hours, so I will be in pain for a while.
You didn't replied for a month... if you see this pleeeeese send me your Unity progect to joaonunodiasleitao@gmail.com! I tried to recriate it but i coundn't make the same effect... Hope you recovered well from your surgery!
 

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