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Homework Help
Introductory Physics Homework Help
Ball Trajectory: Solve for x(t) & y(t) & y(x)
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[QUOTE="majinsock, post: 4514293, member: 459705"] [h2]Homework Statement [/h2] [B]A cannon shoots a ball at an angle [itex]\theta[/itex] above the horizontal ground[/B] [B]a)[/B] Neglecting air resistence, find the ball's position (x(t) and y(t)) as a function of time. [B]b)[/B] Take the above answer and find an equation for the ball's trajectory y(x).[h2]Homework Equations[/h2] [itex]\frac{dx}{dt}[/itex] = V[SUB]o[/SUB]cos([itex]\theta[/itex]) [itex]\frac{dy}{dt}[/itex] = V[SUB]o[/SUB]sin([itex]\theta[/itex]) - gt[h2]The Attempt at a Solution[/h2] Okay, so I integrated both sides of both equations and ended up with: x(t) = V[SUB]o[/SUB]cos([itex]\theta[/itex])t y(t) = V[SUB]o[/SUB]sin([itex]\theta[/itex])t - 0.5gt[SUP]2[/SUP] which I'm pretty sure solves part a), but I'm having a lot of trouble finding a function of y in terms of x for part b). I tried messing around with some trigonometric identities but I get nowhere. Any tips? [/QUOTE]
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Introductory Physics Homework Help
Ball Trajectory: Solve for x(t) & y(t) & y(x)
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