Randall D. Knight — Kinematics in Two Dimensions: Problem Problem_51

You are target shooting using a toy gun that fires a small ball at a speed of \(15 \text{ m/s}\). When the gun is fired at an angle of \(30^{\circ}\) above horizontal, the ball hits the bull’s-eye of a target at the same height as the gun. Then the target distance is halved. At what angle must you aim the gun to hit the bull’s-eye in its new position? (Mathematically there are two solutions to this problem; the physically reasonable answer is the smaller of the two.)