You are target shooting using a toy gun that fires a small ball at a speed of 15 m/sm/s. When the gun is fired at an angle of 25 ∘∘ 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.)

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
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You are target shooting using a toy gun that fires a small ball at a speed of 15 m/sm/s. When the gun is fired at an angle of 25 ∘∘ 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.)

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