My Math Forum Angry Bird

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 August 12th, 2011, 07:05 AM #1 Senior Member   Joined: Apr 2010 Posts: 128 Thanks: 0 Angry Bird Question : (Refer the following image link) else there is no way to solve this question http://a1.sphotos.ak.fbcdn.net/hphot..._5109935_n.jpg In the polular game "Angry Birds" , in order to make sure the red bird can hit the green pig , what should be the launch angle (respect to horizontal) of the slingshot if the time of flight is 2.50s? (7m) Can someone show me steps to do? Got people tell me use velocity formula , also got people ask me use vector formula...etc..can someone show me steps to obtain answer?
 August 12th, 2011, 08:34 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,170 Thanks: 472 Math Focus: Calculus/ODEs Re: Angry Bird If we assume the projectile is at the origin at time t = 0, then parametrically, the motion will be given as: $x(t)=$$v_i\cos\theta$$t$ $y(t)=$$v_i\sin\theta$$t-\frac{g}{2}t^2$ From the diagram, we let g = 9.8 m/s², t = 2.50 s, x(t) = 55 m and y(t) = 2 m: $55=2.5v_i\cos\theta$ $2=2.5v_i\sin\theta-30.625$ Solving both for $v_i$ gives: $v_i=\frac{55}{2.5\cos\theta}=\frac{32.625}{2.5\sin \theta}$ Multiply through by $2.5\sin\theta$ $55\tan\theta=32.625$ $\theta=\tan^{-1}$$\frac{32.625}{55}$$\approx30.7^{\circ}$
 August 12th, 2011, 08:40 AM #3 Senior Member   Joined: Apr 2010 Posts: 128 Thanks: 0 Re: Angry Bird what if you assume g = 10 m/s ?
 August 12th, 2011, 08:47 AM #4 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,170 Thanks: 472 Math Focus: Calculus/ODEs Re: Angry Bird Then we would have: $\theta=\tan^{-1}$$\frac{33.25}{55}$$\approx31.2^{\circ}$

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