Since I am currently re-studying basic physics to get a firmer grip, I thought I might post some of the exercises I come across - just in case anyone here would like to have a go by him/herself. These are not homework questions for which I seek the answer, they are simply exercise examples for whoever might be interested.

So here is the first one now - let me warn you, it looks deceptively easy but requires some interesting trigonometry ( some of which I had forgotten, so this little exercise took me a good hour to figure out, and an entire A4 sheet of paper !!! ) :

"You fire a ball with an initial speed v at an angle above the surface

of an incline, which is itself inclined at an angle above the

horizontal. (a) Find the distance, measured along the

incline, from the launch point to the point when the ball strikes the

incline. (b) What angle gives the maximum range, measured

along the incline? Ignore air resistance."

Cheers and good luck

Feel free to post your solution if you like !

EDIT : The point here is of course to do this by hand, so no cheating with WolframAlpha etc ! Consult your trigonometry tables if needed ( I definitely had to ), but don't take any other shortcuts, or else don't bother with this in the first place.