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In Scratch, a useful equation is the Trajectory formula. This formula is useful for projects including:
- Rocket or baseball simulators
- Tank games
- Anything that includes the curve of a projectile
The formula(e) calculate(s) where on the screen the projectile should be. As well as calculating this, there are many other formulae that calculate different things
These are the formulae:
Horizontal velocity: v°x = v°cos(ß) Horizontal distance: x = a+v°xt Vertical velocity: v°y = v°sin(ß)-gt Vertical distance: y = b+v°sin(ß)-0.5gt² v° is the initial velocity, ß is the projectile angle (from -90 to 90), a & b are the starting coordinates, g is the informal gravity constant 9.81 and t is the time since the launch
Other formulae include:
Maximum height: H = b+[v°²sin²(ß)]/[2g] Horizontal range: R = [v°²sin2(ß)]/[g]-a
sin(ß) and cos(ß) are the vertical and horizontal components (or velocities)