In Pursuit (2000)
CALCULUS problem {hawk pirsuit of pigeon} hawk position (8000,0) pigeon position (0,2000)?
Suppose that a hawk, whose initial position is on the x-axis, spots a pigeon at on the y-axis. Suppose that the pigeon flies at a constant speed of 30 ft/sec in the direction of the y-axis (oblivious to the hawk), while the hawk flies at a constant speed of 90 ft/sec, always in the direction of the pigeon.
P and Q represent the positions at time t,and flight of hawk is given by y=f(x)
1.The pigeon’s position Q=(0,g(t)) is given by the following function of time. g(t)=
2.The fact that the hawk is always headed in the direction of the pigeon means that the line PQ is tangent to the pursuit curve y=f(x). This tells us that dy/dx= h(x,y,t) where h(x,y,t)=
Your answer must involve the three variables x,y and t.
3.If we solve the equation where p=h(x,y,t), where p=dy/dx for time we obtain that t= k(x,y,p) where k(x,y,p)=
Your answer must involve the three variables x,y and p where p=dy/dx
♥ a familiar problem. Too much work though. 2 points will do for me.
Masters Of Illusion- We All Over (2000)
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In Pursuit [VHS]
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