Finding the best angle of movement to cause a line-intersection. The 2019 Stack Overflow Developer Survey Results Are InIntersection Of Line and Rectangle in 2DGeneral solution for 3D line intersectionCalculating circle radius from two points on circumference (for game movement)Verify that two line segments do not cross, or projected intersection is not on either lineComparing The Rates at Which Squares and Circles Fill Large Similar Areas.Point between two points given time?list two possible coordinates of the third vertex so that the triangle has the area of 20 square unitsSolution for finding intercept point of two moving objects (XY plane)Approximating the intersection of a line and the iPhone X screen as well as its normalsIntersecting Angle between 2 Line Segments
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Finding the best angle of movement to cause a line-intersection.
The 2019 Stack Overflow Developer Survey Results Are InIntersection Of Line and Rectangle in 2DGeneral solution for 3D line intersectionCalculating circle radius from two points on circumference (for game movement)Verify that two line segments do not cross, or projected intersection is not on either lineComparing The Rates at Which Squares and Circles Fill Large Similar Areas.Point between two points given time?list two possible coordinates of the third vertex so that the triangle has the area of 20 square unitsSolution for finding intercept point of two moving objects (XY plane)Approximating the intersection of a line and the iPhone X screen as well as its normalsIntersecting Angle between 2 Line Segments
$begingroup$
I am working on developing a simple Turret for a personal game project that I've been working on and found myself in need of a formula for detecting the proper angle to fire a projectile in order to hit a moving target.
I have been looking at the line-intersection formula for awhile, however it doesn't take time into consideration at all.
The idea here is that I have two points on a graph. The first point (P1) being the player and the second point (P2) being the Turret.
We know the following information about P1:
- Current x & y coordinates.
- The direction it's moving in.
- The amount of "units" per second it's moving.
We know the following information about P2:
- Current x & y coordinates.
- The amount of "units" per second the point can travel.
- The maximum range that can be traveled.
What we need to find about P2:
- The most optimal direction to travel to intersect with P1 at the earliest possible time.
Here's a more simplified example
P1 is at (200, 400) moving 45degrees at 250 units per second.
P2 starts at (180, 280) and can travel 900 units per second for a maximum of 1300 units.
What direction should P2 travel in order to intersect with P1 in the shortest possible time / distance.
These values are constantly changing every frame, so any help pointing me towards what formula's I need to be using or an in-detail explanation of how to calculate this would be extremely appreciated.
BONUS: Even though P1 and P2 are bound to a single position on the "grid" they both have a size, for example P1 may be 80 units wide and P2 may be 30 units wide, how could I include this in the calculations required to determine the best possible direction.
NOTE: I'm not just simply looking for an answer, please provide reading material on this as-well if possible, or even KHAN Academy videos. I've been searching for a few days now and I've watched tons of video on angles and line intersection but I still don't understand this and really need to.
geometry
asked Apr 7 at 20:25
Christian TuckerChristian Tucker
1
New contributor
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I am working on developing a simple Turret for a personal game project that I've been working on and found myself in need of a formula for detecting the proper angle to fire a projectile in order to hit a moving target.
I have been looking at the line-intersection formula for awhile, however it doesn't take time into consideration at all.
The idea here is that I have two points on a graph. The first point (P1) being the player and the second point (P2) being the Turret.
We know the following information about P1:
- Current x & y coordinates.
- The direction it's moving in.
- The amount of "units" per second it's moving.
We know the following information about P2:
- Current x & y coordinates.
- The amount of "units" per second the point can travel.
- The maximum range that can be traveled.
What we need to find about P2:
- The most optimal direction to travel to intersect with P1 at the earliest possible time.
Here's a more simplified example
P1 is at (200, 400) moving 45degrees at 250 units per second.
P2 starts at (180, 280) and can travel 900 units per second for a maximum of 1300 units.
What direction should P2 travel in order to intersect with P1 in the shortest possible time / distance.
These values are constantly changing every frame, so any help pointing me towards what formula's I need to be using or an in-detail explanation of how to calculate this would be extremely appreciated.
BONUS: Even though P1 and P2 are bound to a single position on the "grid" they both have a size, for example P1 may be 80 units wide and P2 may be 30 units wide, how could I include this in the calculations required to determine the best possible direction.
NOTE: I'm not just simply looking for an answer, please provide reading material on this as-well if possible, or even KHAN Academy videos. I've been searching for a few days now and I've watched tons of video on angles and line intersection but I still don't understand this and really need to.
geometry
asked Apr 7 at 20:25
Christian TuckerChristian Tucker
1
New contributor
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
check this Wikipedia article, it has a lot of info, including picking an angle to hit a point with $(x, y)$ coordinates: en.wikipedia.org/wiki/Projectile_motion
$endgroup$
– Vasya
Apr 7 at 21:40
$begingroup$
@Vasya Awesome, thanks. Any additional material you have I'm glad to take.
$endgroup$
– Christian Tucker
Apr 7 at 21:50
$begingroup$
Check also this resource which has pretty good explanations regarding firing a projectile: school-for-champions.com/science/…
$endgroup$
– Vasya
Apr 7 at 21:54
add a comment |
$begingroup$
I am working on developing a simple Turret for a personal game project that I've been working on and found myself in need of a formula for detecting the proper angle to fire a projectile in order to hit a moving target.
I have been looking at the line-intersection formula for awhile, however it doesn't take time into consideration at all.
The idea here is that I have two points on a graph. The first point (P1) being the player and the second point (P2) being the Turret.
We know the following information about P1:
- Current x & y coordinates.
- The direction it's moving in.
- The amount of "units" per second it's moving.
We know the following information about P2:
- Current x & y coordinates.
- The amount of "units" per second the point can travel.
- The maximum range that can be traveled.
What we need to find about P2:
- The most optimal direction to travel to intersect with P1 at the earliest possible time.
Here's a more simplified example
P1 is at (200, 400) moving 45degrees at 250 units per second.
P2 starts at (180, 280) and can travel 900 units per second for a maximum of 1300 units.
What direction should P2 travel in order to intersect with P1 in the shortest possible time / distance.
These values are constantly changing every frame, so any help pointing me towards what formula's I need to be using or an in-detail explanation of how to calculate this would be extremely appreciated.
BONUS: Even though P1 and P2 are bound to a single position on the "grid" they both have a size, for example P1 may be 80 units wide and P2 may be 30 units wide, how could I include this in the calculations required to determine the best possible direction.
NOTE: I'm not just simply looking for an answer, please provide reading material on this as-well if possible, or even KHAN Academy videos. I've been searching for a few days now and I've watched tons of video on angles and line intersection but I still don't understand this and really need to.
geometry
asked Apr 7 at 20:25
Christian TuckerChristian Tucker
1
New contributor
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I am working on developing a simple Turret for a personal game project that I've been working on and found myself in need of a formula for detecting the proper angle to fire a projectile in order to hit a moving target.
I have been looking at the line-intersection formula for awhile, however it doesn't take time into consideration at all.
The idea here is that I have two points on a graph. The first point (P1) being the player and the second point (P2) being the Turret.
We know the following information about P1:
- Current x & y coordinates.
- The direction it's moving in.
- The amount of "units" per second it's moving.
We know the following information about P2:
- Current x & y coordinates.
- The amount of "units" per second the point can travel.
- The maximum range that can be traveled.
What we need to find about P2:
- The most optimal direction to travel to intersect with P1 at the earliest possible time.
Here's a more simplified example
P1 is at (200, 400) moving 45degrees at 250 units per second.
P2 starts at (180, 280) and can travel 900 units per second for a maximum of 1300 units.
What direction should P2 travel in order to intersect with P1 in the shortest possible time / distance.
These values are constantly changing every frame, so any help pointing me towards what formula's I need to be using or an in-detail explanation of how to calculate this would be extremely appreciated.
BONUS: Even though P1 and P2 are bound to a single position on the "grid" they both have a size, for example P1 may be 80 units wide and P2 may be 30 units wide, how could I include this in the calculations required to determine the best possible direction.
NOTE: I'm not just simply looking for an answer, please provide reading material on this as-well if possible, or even KHAN Academy videos. I've been searching for a few days now and I've watched tons of video on angles and line intersection but I still don't understand this and really need to.
geometry
geometry
asked Apr 7 at 20:25
Christian TuckerChristian Tucker
1
New contributor
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Apr 7 at 20:25
Christian TuckerChristian Tucker
1
New contributor
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Apr 7 at 20:25
Christian TuckerChristian Tucker
1
New contributor
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Apr 7 at 20:25
Christian TuckerChristian Tucker
1
asked Apr 7 at 20:25
Christian TuckerChristian Tucker
1
1
New contributor
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Christian Tucker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
check this Wikipedia article, it has a lot of info, including picking an angle to hit a point with $(x, y)$ coordinates: en.wikipedia.org/wiki/Projectile_motion
$endgroup$
– Vasya
Apr 7 at 21:40
$begingroup$
@Vasya Awesome, thanks. Any additional material you have I'm glad to take.
$endgroup$
– Christian Tucker
Apr 7 at 21:50
$begingroup$
Check also this resource which has pretty good explanations regarding firing a projectile: school-for-champions.com/science/…
$endgroup$
– Vasya
Apr 7 at 21:54
add a comment |
$begingroup$
check this Wikipedia article, it has a lot of info, including picking an angle to hit a point with $(x, y)$ coordinates: en.wikipedia.org/wiki/Projectile_motion
$endgroup$
– Vasya
Apr 7 at 21:40
$begingroup$
@Vasya Awesome, thanks. Any additional material you have I'm glad to take.
$endgroup$
– Christian Tucker
Apr 7 at 21:50
$begingroup$
Check also this resource which has pretty good explanations regarding firing a projectile: school-for-champions.com/science/…
$endgroup$
– Vasya
Apr 7 at 21:54
$begingroup$
check this Wikipedia article, it has a lot of info, including picking an angle to hit a point with $(x, y)$ coordinates: en.wikipedia.org/wiki/Projectile_motion
$endgroup$
– Vasya
Apr 7 at 21:40
$begingroup$
check this Wikipedia article, it has a lot of info, including picking an angle to hit a point with $(x, y)$ coordinates: en.wikipedia.org/wiki/Projectile_motion
$endgroup$
– Vasya
Apr 7 at 21:40
$begingroup$
@Vasya Awesome, thanks. Any additional material you have I'm glad to take.
$endgroup$
– Christian Tucker
Apr 7 at 21:50
$begingroup$
@Vasya Awesome, thanks. Any additional material you have I'm glad to take.
$endgroup$
– Christian Tucker
Apr 7 at 21:50
$begingroup$
Check also this resource which has pretty good explanations regarding firing a projectile: school-for-champions.com/science/…
$endgroup$
– Vasya
Apr 7 at 21:54
$begingroup$
Check also this resource which has pretty good explanations regarding firing a projectile: school-for-champions.com/science/…
$endgroup$
– Vasya
Apr 7 at 21:54
add a comment |
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$begingroup$
check this Wikipedia article, it has a lot of info, including picking an angle to hit a point with $(x, y)$ coordinates: en.wikipedia.org/wiki/Projectile_motion
$endgroup$
– Vasya
Apr 7 at 21:40
$begingroup$
@Vasya Awesome, thanks. Any additional material you have I'm glad to take.
$endgroup$
– Christian Tucker
Apr 7 at 21:50
$begingroup$
Check also this resource which has pretty good explanations regarding firing a projectile: school-for-champions.com/science/…
$endgroup$
– Vasya
Apr 7 at 21:54