1. The problem statement, all variables and given/known data A large boulder rests on a cliff 400 m above a small village in such a position that if it should roll off, it would leave with a speed of 50 m/s at an angle of 30 degrees below the horizontal. There is a pond with a diameter of 200 m, with its edge 100 m from the base of the cliff. The village houses are at the edge of the pond. A physics student says that the boulder will land in the pond. Is he right? 2. Relevant equations y= y0 + v0yt + 1/2gt^2 x=R=v0xt 3. The attempt at a solution Firstly, I need to find the vector components of the velocity. Since theta is -30 degrees and the magnitude of the velocity is 50 m/s, I find that v0x=50cos(30) which is 43.3 m/s and v0y=-50sin(30) which is -25 m/s. Next I want to find out how long it would take the boulder to fall a vertical distance of 400 m (in this case, -400 m since i chose my y axis to be positive in upwards direction). I use the equation y= y0 + v0yt + 1/2gt^2. I take y0 to be 0 m and y to be -400. Using the quadratic formula, I find that t=6.84 s. Then I want to find the range or the horizontal distance the boulder travels, which I find using the equation x=v0xt. Since v0x=43.3 m/s and t=6.84 s, I plug those in to get x=296 m. I say that the physics student is right, that the boulder will land in the pond.