A water balloon is fired at 34.0 m/s from a water cannon, which is aimed at an angle of 18° above the ground. The center of the cannon's target (which has a radius of 1.0 m) is painted on the asphalt 42.0 m away from the water cannon.

Question

A water balloon is fired at 34.0 m/s from a water cannon, which is aimed at an angle of 18° above the ground. The center of the cannon's target (which has a radius of 1.0 m) is painted on the asphalt 42.0 m away from the water cannon. 
will the balloon hit the target? justify your response with calculation.

oobleck · Answer

Recall that the range of a missile is given by R = (v^2 sin2θ)/g plug in your numbers and see whether 41.0 <= R <= 43.0