A catapult must hit a target 50 meters away. When fired straight up vertically, it travels 100m. If it uses the same velocity, what angle should the catapult be at?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
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A catapult must hit a target 50 meters away. When fired straight up vertically, it travels 100m. If it uses the same velocity, what angle should the catapult be at?

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Can you show me the derivation of the equation for the range from the kinematic equations and thr trig?     R   = v2  sin 2 ( theta)/ g

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