AusCharger
10-16-06, 10:46 PM
Could somebody please tell me how to calculate the angle of projection using a Horizontal and Vertical velocity? By the way I did run a search first and found diddley.
Cheers
Cheers
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View Full Version : Projection angle AusCharger 10-16-06, 10:46 PM Could somebody please tell me how to calculate the angle of projection using a Horizontal and Vertical velocity? By the way I did run a search first and found diddley. Cheers James R 10-16-06, 11:31 PM tan(angle) = vertical velocity / horizontal velocity. AusCharger 10-16-06, 11:41 PM Is that all? Oops, feel like bit of an idiot. Thanks a lot for that James. James R 10-16-06, 11:52 PM Velocity is a vector, so if the magnitude is v and the angle it t (which I'll use instead of theta), then the components of the velocity are: vx = v cos t vy = v sin t Draw a right-angled triangle with angle t between the x direction and the hypotenuse. Then sin t = opposite / hypotenuse = vy/v ... (1) cos t = adjacent / hypotenuse = vx/v ... (2) which leads to the above relationships. If we divide equation (1) by (2), we get: sin t / cos t = (vy/v) / (vx/v) = vy/vx = tan t. Also: v^2 = vx^2 + vy^2 using Pythagoras. |