Calculating Angle to Shoot Sword Over Wall for UT - 65 Characters

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The discussion revolves around calculating the optimal angle for shooting a sword over a 14-meter-high wall to a friend standing 9 meters behind it. The potential energy available from the bow is 179 Nm, which is sufficient to clear the wall, but the challenge lies in determining the correct launch angle and distance from the wall. Participants suggest breaking the problem into two phases: the projectile's ascent to the wall and its descent to the target. Various equations are discussed, including those related to projectile motion and energy conservation, with emphasis on the need to account for both vertical and horizontal components of motion. Ultimately, the conversation highlights the complexity of the problem and the importance of precise calculations to ensure the sword reaches its intended target.
  • #31
Well, if one speed is 5.85 m/s (did the calculation again with 11.6) and the other one is 7.54 then launch speed is

√(5.58^2+7.54^2)= 9.3 m/s

The speed available from the bow is
179=(1.28 kg *v^2)/2
v=16.703

16.703 > 9.3 , meaning that it doesn't exceed the speed available from the bow and that I can use the given speed.
 
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  • #32
Superman123 said:
Well, if one speed is 5.85 m/s (did the calculation again with 11.6) and the other one is 7.54 then launch speed is

√(5.58^2+7.54^2)= 9.3 m/s

The speed available from the bow is
179=(1.28 kg *v^2)/2
v=16.703

16.703 > 9.3 , meaning that it doesn't exceed the speed available from the bow and that I can use the given speed.
Looks right.
 
  • #33
Thank you very much, I appreciate your help !:smile:
Just a very tiny question, did you use suvat-equations to construct this function for the optimal angle (π-atan(d/h))/2?
 
  • #34
Superman123 said:
Thank you very much, I appreciate your help !:smile:
Just a very tiny question, did you use suvat-equations to construct this function for the optimal angle (π-atan(d/h))/2?
Yes.
 

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