Snowball physics

You are in a snowball fight, and throw a snowball at a high angle over level ground. While your opponent is watching this first snowball, you throw a second one at a low angle timed to arrive before or at the same time as the first one.

Assume both snowballs are thrown with a speed of 39.4 m/s. the first one is thrown at an angle of 71 degrees to the horizontal. What angle should the second snowball be thrown to arrive at the same point as the first?

The simplest answer to this problem is to use the complementary angle. Since the target is in the same place there are two launch angles that will place the snow ball on the target. The answer is 19 degrees which is calculated from 45 - (71 - 45). If you want more detail on the this solution contact me.
09 March 2011
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