Solve 2-D Motion Practice Homework: Truck & Watermelons

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SUMMARY

The discussion centers on solving a 2-D motion problem involving a truck and watermelons, specifically calculating the coordinates of a watermelon that rolls off a truck with an initial horizontal speed of 12.0 m/s. The trajectory of the watermelon is influenced by gravitational acceleration, modeled by the equations 12t = x and y = -9.8(t)^2. The user attempts to find the intersection of the watermelon’s path with the parabolic bank defined by the equation y² = 14x, but encounters difficulties in solving the equations correctly.

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Homework Statement


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
 
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bump, I really need help on this for tomorrow please.
 

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