Projectile motion, simultaneous equations, arbitrary values, physics homework help


Physics for Scientists and Engineers, 6th Edition 6th Edition by Paul A. Tipler (Author), Gene Mosca (Author)

Example 3-10: The Ranger and the Monkey, part A

I do not find the book’s answer satisfactory as they do not strictly show mathematically how the equations to produce the end co-ordinates are equivalent with arbitrary values.

i.e. I feel like they are making assumptions that are not shown mathematically and I would like to know how to express the entire answer mathematically in the form “equation 1 = equation 2”

Any advice specifically or in terms of an approach would be welcomed

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