Mathematics

Question

in a disastrous first flight, an experimental paper airplane follows the trajectory indicated by these parametric equations

1 Answer

  • The airplane was flying horizontally at those times when dy/dt = 0 and dx/dt = 0. From the given trajectory we have dy/dt = 3 sin t and dx/dt = 1 − 3 cos t (6) Setting dy/dt = 0 yields the equation 3 sin t = 0, or, more simply, sin t = 0. This equation has four solutions in the time interval 0 ≤ t ≤ 10: t = 0, t= π, t = 2π, t = 3π I want to know how do they came up with these four solutions, I solved but I got only 1 t=0
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