Calculating Melon Coordinates on a Parabolic Bank: A Physics Problem"

[Sunnie]

A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (see figure). The quick stop causes a number of melons to fly off the truck. One melon rolls over the edge with an initial speed vi = 8.0 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?

How do you find the angle out of Y2=14x?

 

[kamerling]

A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (see figure). The quick stop causes a number of melons to fly off the truck. One melon rolls over the edge with an initial speed vi = 8.0 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?

How do you find the angle out of Y2=14x?

why would you want to find an angle? You just want an equation for the path that the
water melon will follow, and combine that with y^2 = 14x to get the point where that path
will intersect with the bank