Question

Ok, so say you have a ship capable of moving forward at a speed of 6, and strafing sideways at a speed of 2. What mathematical formula would you use to find out how fast the ship would move if it was moving both sideways and forwards (diagonally). This would utilize both it's forward and strafing speeds, using the midpoint formula you would come up with a speed of 4. But what formula would you use to come up with the speed it would be moving it if it weren't moving at an exactly diagonal path? Say, instead of moving 45 degrees from its facing, it's moving 30 degrees or somesuch?

Answer 1

if this involves vectors then i think the formula you are looking for is:
F = 6cos(theta) + 2sin(theta)