A physics student performed a projectile experiment. She mentioned that as the initial angle of the projectile increases from 0 to 450, the range also increases (claim 1). Maximum range is attained at 450 (claim 2). As the initial angle increases above 450, the range of the projectile decreases (claim 3). She was able to verify the first claim in her experiment. Your task is to prove claim 1, 2 and 3 mathematically.

A physics student performed a projectile experiment. She mentioned that as the initial angle of the projectile increases from 0 to 450, the range also increases (claim 1). Maximum range is attained at 450 (claim 2). As the initial angle increases above 450, the range of the projectile decreases (claim 3). She was able to verify the first claim in her experiment. Your task is to prove claim 1, 2 and 3 mathematically.

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 49P

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