Where did you get ?
I get:
Which then gives:
Or you change the previous one to:
Hello!
Basically I am stuck... been pulling my hair out trying to simplify this and come out with a simple expression!
Also not sure what area of the forum to put this in, but seeing as there is nothing too complicated and its all algebra i think this is the right place.
Heres the problem:
Two balls are thrown at angles , , at velocity one after the other such that they collide at point B in mid air, determine the time between the throws (analytically).
Heres what i have done so far:
Resolving horizontally gives:
and
Resolving Vertically gives:
Sub in the expression for to find the eqn in terms of then my plan is to simplify and do the same for until finally i can do:
where is the answer to the problem.
Okay, so heres where i am stuck:
Trying to simplify the eqn. for , im not sure exactly how to do this:
I have a similar expression for .
How do i simplify that?
EDIT: I am guessing there is a trig identity for bottom part which can be written:
but i cant remember it!
EDIT 2: Perhaps there isnt, so i tried simplifying and got this:
Is that okay?
Two balls are thrown at angles , , at velocity one after the other such that they collide at point B in mid air, determine the time between the throws (analytically).
You are not asked to calculate and , only the difference between them.
If you take the equation
and get just the terms on one side, you can isolate (by factorising) and then substitute for the ratio of on the other side.