Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20051003 03:29:52
Maximum displacement of a trajectory.If an object is projected at a fixed speed of u at a variable angle theta, how would one find out the equation of the curve that shows the furthest point the trajectory can be? #2 20051003 16:24:21
Re: Maximum displacement of a trajectory.For reference: Now, are you asking for the maximum a) x (horizontal distance), which I have just shown, or b) y (height), or c) actual distance from origin, which would be √(x²+y²) "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #3 20051004 01:42:27
Re: Maximum displacement of a trajectory.I know how to find the maximum range and the maximum height. I also know the trajectory equation which will tell me who to find the displacement from the origin. #4 20051004 10:09:16
Re: Maximum displacement of a trajectory.OK, so you want a formula like: "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #5 20051006 01:29:31
Re: Maximum displacement of a trajectory.
#6 20051006 04:25:11
Re: Maximum displacement of a trajectory.If I'm right, you want to find the value of θ that gives the highest value of y, in terms of v and x. Why did the vector cross the road? It wanted to be normal. 