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## Homework Statement

A student stands on the edge of a cliff and throws a stone horizontally over the edge with a speed "v

_{1}". The cliff is "h" meters high. Given [h,v

_{1}], Determine:

a. The time to hit the ground

b. The horizontal distance traveled

c. The magnitude and direction of the stone's velocity just before hitting the ground

## Homework Equations

x direction

[tex]

V_x=V_{0x}

[/tex]

[tex]

x=V_0\cos{\theta}

[/tex]

y direction

[tex]

V_y=V_{0y}-gt

[/tex]

[tex]

y=V_{0y}t-\frac{1}{2}gt^2

[/tex]

[tex]

V_y^2=V_{0y}^2-2gy

[/tex]

## The Attempt at a Solution

If I set up my coordinate system so that 0 is ground level, and h is cliff level (where the stone was thrown from), and the distance to the landing point of the stone when it hits the ground is, say "r" meters from 0 in the x direction.

I've shown what work I have in the attached images, but to be perfectly honest, I'm having trouble with the entire basic strategy to approaching this problem.

When I try to solve for x distance r, I need time. So when I try to solve for time, that becomes reliant on r. I can't even think of anything else I can find.

I feel I'm either not utilizing the possible angles within this problem, or I've completely missed some fundamental idea in regards to projectile motion.

A good shove in the right direction on this kind of problem would be VERY much appreciated.