Originally Posted by

**magus** A ball is thrown with initial speed $\displaystyle v_0$ up an inclined plane. the plane is at an angle $\displaystyle \phi$ and the ball's initial velocity is at angle $\displaystyle \theta$. Choose an axis with x measured up the slope, y normal, and z across it. Write down Newton's second law using these axes and find the ball's position as a function of time. Show that the ball lands a distance

$\displaystyle R=\dfrac{2v_0^2\sin{\theta}\cos(\theta+\phi)}{g\co s^2(\phi)}$

note the correction in your formula for R from your original post.