Red Ball, Blue Ball

red ball blue ball pic.png

In what direction do I shoot the red ball so it will collide with the blue?

At time t = 0 a red ball is projected from the origin and travels along the line y = mx at constant speed 2. At the same moment a blue ball is dropped from the point (4, 4) and travels down the line x = 4 at constant speed 1. What value of m will produce a direct collision of the two balls? Of course the fun part is constructing the animation and deciding what you want to happen when the two balls do collide.

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