You are a contestant on a TV reality game show where you and yourteam are given

Question

You are a contestant on a TV reality game show where you and yourteam are given a
challenge to use an air-gun to shoot a ball and hit a target 30.0meters away on flat
horizontal ground in two shots. The air gun fires the ball at thesame velocity every
time but you can adjust the angle that it shoots at. You remembersomething from
physics class bout 45o being the “optimal” angle so youtake your first shot with the
gun set at an angle of 45o above the horizontal. That shot sails5.5 meters beyond the
target. You’ve got one more shot to win and big money is onthe line. What do you
do?

Explanation / Answer

Then initial velocity is vo =sqrt[Rg/sin2]          = sqrt[(30m +5.5m)(9.8m/s2)/(sin90o)]          = 18.65m/s
Now actual range is 30m Then sin2 =(30m)(9.8m/s2)/(18.65m/s)2    = 0.8453 then 2 =57.7o or =28.85o So you need to project the bullet at the angles28.85o and 90o-28.85o =61.15o to get the money

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