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Accurately calculating a component of a force field
I'm developing a game in which characters can shoot projectiles. I'm trying to determine the amount of energy that each projectile has. So I'm calculating the components of the force exerted by an air particle on an object (bullet).
From a Vector's components,
we can calculate the magnitude of the force by summing the corresponding components and dividing the result by the acceleration.
we can calculate the object's acceleration with an impulse-acceleration method that is based on the fact that when you fire a bullet it is subjected to the component of the initial force that is perpendicular to the direction of the bullet's velocity (F = F⃗ v⃗) and that the impulse of the bullet is proportional to its mass and to the vector of the initial force.
When the bullet is fired at a distance of 20 meters, we have that F⃗ = 250 m²/s² (see above).
We also have that v⃗ = (32, 50, -32) m/s, so the calculated acceleration is (5, 6, -5) m/s².
The bullet weighs 3g, so we have F⃗ = (3 * 5, 3 * 6, -3 * 5) m/s².
And we know the impulse of the bullet as a ratio between mass and force, so
impulse = m / F⃗ = (3 * 3) / (250 * (3 * 5, 3 * 6, -3 * 5) = 5.4 g
But if I divide the velocity component by the velocity (i.e. to calculate the impulse of the bullet), I get 2.6.
So why is my calculation wrong?
A 01e38acffe
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