A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (Fig. P4.64). The quick stop causes a number of melons to fly off the truck. One melon rolls over the edge with an initial speed vi = 12.0 m/s in the horizontal direction. A cross-section of the bank has the shape of the bottom half of a parabola with its vertex at the edge of the road, and with the equation y2 = 14x, where x and y are measured in meters. What are the x and y coordinates of the melon when it splatters on the bank?
2. The attempt at a solution
I've been attempting it by making a parabola equation out of 12t=x and -9.8(t)^2=y by solving for t and plugging it in so that y=-9.8(x/12)^2 and finding where it intersects with y^2=14x but it doesn't seem to work so perhapse I'm doing something wrong. Thanks though