Projectile motion on an incline

[sigma]

Hi. Got this quite interesting problem:
A projectile is launched at some velocity at an angle a over a plane inclined at an angle b.

1. How far, measured along the incline, will the projectile fly?
2. What angle a will give the longest distance?

Any suggestions/hints on possible solutions?

/J.

 

[Tide]

Set up coordinates in the plane of the incline and write out the equations of motion. You should be able to solve them with little difficulty and arrive at the desired answer.

 

[gnpatterson]

There is a trick with scaling and your choice of variables, but I can't remember it, if you look at the flat example the choice of variables might be obvious