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?

Question

anonymous · Answer

$$x = 14 t$$

anonymous · Answer

y value y=1/2 gt^2

anonymous · Answer

t=x/14; substitute this into the y equation and get

anonymous · Answer

y=1/2 gt^2 = 1/2 g(x/14)^2 = 0.025 x^2

anonymous · Answer

curve intersects y^2=12x              y=Sqrt[12x]=0.025x^2

anonymous · Answer

12 x= 0.000625 x^4

19200=x^3 => x=26.77m

when x=26.77, y=Sqrt[12*26.77]=17.92m,

anonymous · Answer

So the answers are x=26.77m and y==17.92m Hope you got it :)

anonymous · Answer

Have you got it, Calc1student?

anonymous · Answer

Hi (: no not quite. For some reason the answers are marked wrong (online assignment)

anonymous · Answer

really !!
I am sorry abt it :(

anonymous · Answer

i'm still waiting on the picture of this tragedy