MHB Finding Horizontal/Vertical Distance Between Two Points in Scratch 3.0

AI Thread Summary
To accurately position the bullet in a Scratch 3.0 game, the shooter sprite's barrel must be aligned with the bullet's trajectory based on the sprite's rotation. The X and Y distances from the sprite's center to the barrel's end vary with the angle of rotation, complicating the calculation. When the sprite faces 90º, the distances are 105 pixels horizontally and 45 pixels vertically. To find the distances for other angles, using trigonometric functions or Pythagorean theorem is suggested, as it forms a right triangle. This approach will ensure the bullet appears to exit the gun correctly regardless of the sprite's orientation.
Kizza23
Messages
1
Reaction score
0
I am making a Scratch 3.0 game. The shooter sprite is holding a gun slightly off-centre (see images), and I need the bullet to go to the end of the barrel of the gun before traveling forward (as so it would appear the bullet it leaving the gun). The issue is, to do this, I need to find the X and Y distance of the end of the barrel from the centre of the shooter sprite (Scratch doesn't let you use diagonal distances 😡). The X and Y distances change as the sprite rotates.

I know if the shooter sprite is facing 90º (right angle), the X distance to the gun is 105 pixels, and the Y distance is 45 pixels.

The computer always knows what direction the shooter sprite is facing.

What about the distances for all the other angles the shooter sprite is facing? Do I need a special formula?

View attachment 8942
View attachment 8943
 

Attachments

  • Background (2).png
    Background (2).png
    12.2 KB · Views: 125
  • Background (1).png
    Background (1).png
    11.8 KB · Views: 105
Mathematics news on Phys.org
Looks like a right triangle is formed in each case you've shown ... couldn't the distance from your set origin to the muzzle (the hypotenuse) be found using Pythagoras?
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Vertical / Horizontal Displacements
Replies
1
Views
2K
B Reprise: Calculate the distance between two points without using a coordinate system
Replies
1
Views
2K
Finding circle center from two points and an arc length
Replies
7
Views
8K
MHB Formula for Ellipse 'Change of Distance by Change of Theta'?
Replies
1
Views
3K
Finding launch angle from vertical and horizontal distance
Replies
5
Views
4K
What is the distance between two points
Replies
1
Views
2K
MHB Finding the Equation of a Circle Passing Through Three Given Points
Replies
7
Views
3K
How to find the horizontal distance from projectile motion?
Replies
9
Views
5K
What is the distance between two parallel lines using the distance formula?
Replies
6
Views
3K
B: Calculate the distance between two points without using a coordinate system
Replies
20
Views
3K

Hot Threads

Recent Insights

Back
Top