A projectile is fired vertically from Earth's surface with an initial speed of 10 km/s. Neglecting air drag, how far above surface of Earth will it go? (Convert to m/s) Please give a detailed calculation of this problem. Thanks!

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.20P
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A projectile is fired vertically from Earth's surface with an initial speed of 10 km/s. Neglecting air drag, how far above surface of Earth will it go? (Convert to m/s)

Please give a detailed calculation of this problem.

Thanks!

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