In the game I'm developing, I want the ball to move in a random direction on the HTML canvas when it starts, but always with the same velocity. The current code I have is:
vx = Math.floor(Math.random() * 20)
vy = Math.floor(Math.random() * 20)
However, this does not provide a consistent velocity. Can anyone suggest a formula that will achieve this? Thank you.
Are you looking to achieve a consistent velocity with a sporadic trajectory? If so, consider using the following formula:
phi = 2*Math.PI*Math.random();
vx = speed * Math.cos(phi);
vy = speed * Math.sin(phi);
It seems like you are working in Java and looking to generate a random vector with a magnitude of 20?
Initially, the vector produced by Math.random() is not truly random as it generates a number between 0 and 1, causing the vector to always point towards the same quadrant in the coordinate system (both coordinates positive). To achieve true randomness, consider using Math.random()*2 - 1 to create coordinates ranging from -1 to 1.
Additionally, it is important to normalize your vector for accurate results. You can refer to this link for more information:
Finally, adjust both vector coordinates by multiplying them by the desired magnitude, such as 20 in your case.
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