Shooter hitting targets of variable heights

  • Context: Undergrad 
  • Thread starter Thread starter flyingcow93g
  • Start date Start date
  • Tags Tags
    Variable
Click For Summary
SUMMARY

The discussion focuses on calculating the initial velocity required for a shooter to hit targets at varying heights, specifically at angles of 65 degrees. The targets are positioned at heights of 1.536 meters, 0.571 meters, and -0.318 meters relative to the shooter, with a known horizontal distance of approximately 14 feet. The proposed formula for initial velocity is Vi=sqrt(4.9d^2/((cos(65)^2)(tan(65)d-h)), but users indicate that it may contain errors. Participants encourage sharing full calculations to identify mistakes in the formula.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions (sine, cosine, tangent)
  • Basic algebra for manipulating equations
  • Knowledge of physics concepts related to velocity and height
NEXT STEPS
  • Research projectile motion equations in physics
  • Learn how to derive initial velocity from height and distance
  • Explore the use of trigonometric identities in projectile calculations
  • Investigate simulation tools for visualizing projectile trajectories
USEFUL FOR

Physics students, engineers, game developers, and anyone involved in designing shooting mechanics or analyzing projectile motion.

flyingcow93g
Messages
1
Reaction score
0
I have a shooter that shoots a ball at a fixed angle of 65 degrees from horizontal. The shooter is aimed at 3 targets of different but fixed heights. The top target is at 1.536 meters above the shooter, the middle target is at 0.571 meters, and the bottom target is -0.318 below the shooters height. The distance in the X direction from my shooter to the targets is the same for each target, and is known through a sensor on my shooter. (An approximate location would be maybe 14 feet away from the targets, if you need to know the general area, but this IS a known variable.) I do not know time or final velocity when it hits the targets, nor is it important. I'm looking for the initial velocity to shoot my ball in order to hit one of the targets.

Basically, I'm looking for a formula where I could plug in our distance and the target I'm aiming for and calculate my initial velocity.

I've come up with something along the lines of Vi=sqrt(4.9d^2/((cos(65)^2)(tan(65)d-h)) where d=distance and h=height of the target, but it doesn't seem to be working properly. Any help?
 
Last edited:
Physics news on Phys.org
welcome to pf!

hi flyingcow93g! welcome to pf! :smile:

(try using the X2 button just above the Reply box :wink:)
flyingcow93g said:
I've come up with something along the lines of Vi=sqrt(4.9d^2/((cos(65)^2)(tan(65)d-h)) …

looks roughly right …

show us your full calculations, and then we can see where you've made a mistake! :smile:
 

Similar threads

  • · Replies 60 ·
3
Replies
60
Views
7K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 29 ·
Replies
29
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
12
Views
945
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
15K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
11K