Projectile motion

• To: mathgroup at smc.vnet.net
• Subject: [mg79869] Projectile motion
• From: Mike <mjp.1 at comcast.net>
• Date: Tue, 7 Aug 2007 01:33:58 -0400 (EDT)

```All:

I'd like to be able to stop the "disk" when it arrives at xmax. Can anyone give me a hint?

Thx,

Mike

Manipulate[
Module[{eqns, soln, x, y, t},
eqns = {x'[t] == v Cos[Theta], x[0] == 0,
y'[t] == -g t + v Sin[Theta], y[0] == 0};
soln = Flatten[NDSolve[eqns, {x, y}, {t, 0, p}]];
With[{d = x[p] /. soln, h = y[p] /. soln},
Graphics[{Blue, Disk[{d, h}, .2]},
PlotRange -> {{-.5, 12}, {-.5, 6}}, Frame -> True,
PlotLabel ->
TableForm[{"Theta =" <>
ToString[NumberForm[Theta 180/Pi , {2, 0}]],
"vx =" <>
ToString[NumberForm[Chop[N[v Cos[Theta]]] , {2, 1}]],
"vy =" <>
ToString[NumberForm[Chop[N[v Sin[Theta]]] , {2, 1}]],
"xmax =" <>
ToString[NumberForm[N[(v^2 Sin[2 Theta])/g] , {3, 2}]],
"ymax =" <>
ToString[
NumberForm[N[(v Sin[Theta])^2/(2 g)] , {3, 2}]]}]]]], {{v,
5, "Initial Velocity"}, 1,
10}, {{g, 9.8, "Gravitational Constant"}, 0,
30}, {{Theta, Pi/4 , "Theta"}, 0, Pi/
2}, {{p, 0, "Animate"}, 0, 2, ControlType -> Trigger}]

```

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