Projection up an inclined plane

[Dreamalittle]

Homework Statement

A particle is projected from a point P on an inclined plane, up the line of greatest slope through P, with initial speed V. The angle of the plane to the horizontal is θ.

(i) If the plane is smooth, and the particle travels for a time \frac{2Vcosθ}{g} before coming instantaneously to rest, show that θ=\frac{π}{4}

(ii) If the same plane is given a roughened surface, with a coefficient of friction 0.5, find the distance traveled before the particle comes to rest.

Homework Equations

No equations given for this question.

The Attempt at a Solution

I'm not even sure I fully understand the question. It's not a projectile question is it? - In which case, the particle simply travels up the slope?

 

[tiny-tim]

Welcome to PF!

Hi Dreamalittle! Welcome to PF!

It's not a projectile question is it? - In which case, the particle simply travels up the slope?

Yes, it simply travels up the slope.

"Projected" simply means that it has no power of its own (after you initially hit it).