Another game which was incredibly popular was Angry Birds. The game follows a group of birds on a quest to retrieve their eggs from the green pigs. The game itself has a simple gameplay. All the player has to do is drag the sling shot, release the bird and destroy the pigs.
There are many different types of birds with different superpowers. Now, take the following scenario. I have a bomb bird ( a bird which explodes) and I have to kill two pigs located and meters away from the slingshot. To kill the two pigs, the bird must land right in between them, considering the bird does not bounce. If the slingshot is on level ground, and the bird must be shot at an angle of from the ground, what is the velocity, in m/s , required to complete the task?
Take
This problem is part of the Science of Apps! series
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I feel the problem has been given an exceptionally high rating, the staff should look into it.
Anyway, the problem can be solved as follows:
The expression for the range of a projectile thrown from level ground at an angle θ to the horizontal is:
R = g u 2 s i n ( 2 θ ) .
Also, for the projectile to fall exactly between the pigs, R = 2 2 4 5 + 2 5 5 = 2 5 0 m .
Plug in the given values to get u = 7 0 m / s