anonymous
  • anonymous
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 = 6.0 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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[x = 14 t\]
anonymous
  • anonymous
y value y=1/2 gt^2
anonymous
  • anonymous
t=x/14; substitute this into the y equation and get

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anonymous
  • anonymous
y=1/2 gt^2 = 1/2 g(x/14)^2 = 0.025 x^2
anonymous
  • anonymous
curve intersects y^2=12x y=Sqrt[12x]=0.025x^2
anonymous
  • anonymous
12 x= 0.000625 x^4 19200=x^3 => x=26.77m when x=26.77, y=Sqrt[12*26.77]=17.92m,
anonymous
  • anonymous
So the answers are x=26.77m and y==17.92m Hope you got it :)
anonymous
  • anonymous
Have you got it, Calc1student?
anonymous
  • anonymous
Hi (: no not quite. For some reason the answers are marked wrong (online assignment)
anonymous
  • anonymous
really !! I am sorry abt it :(
anonymous
  • anonymous
i'm still waiting on the picture of this tragedy

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