Lion chases down an Antelope (source unknown)
From the document,
“Suppose an antelope is running along a straight path at a constant speed k. Without loss of generality suppose he is running along the x axis.
“A lion starts chasing the antelope at a speed 2k in such a way that the lion's direction of motion at
any time is along his line of site to the antelope i.e. the tangent line to the lion's path has as its x-intercept the position of the antelope.
“Again without loss of generality assume the lion is on the y axis a distance d when she first sees the antelope at the origin.”
Questions offered are:
1. What is the lion's trajectory
2. Where does the lion catch the antelope?
3. How long does it take to catch the antelope?
Keywords: chase, model, lion, antelope, heading, direction
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