- #1
negation
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Homework Statement
Show that, for a given initial speed, te horizontal range of a projectile is the same for launch angles [itex]45° +\alpha[/itex] and [itex]45° - \alpha[/itex]
The Attempt at a Solution
[itex]x1 = vi cos (45° + \alpha)[/itex]
[itex]x2 = vi cos (45° - \alpha)[/itex]
tcomplete trajectory = [itex]2 vi sin(45°\pm\alpha)/g[/itex]
Substituting tcomplete trajectory into x1 and x2:
[itex]x1[/itex] = [itex]vi^2 sin (2(45°+\alpha))/g[/itex]
[itex]x2[/itex] = [itex]vi^2 sin (2(45°-\alpha))/g[/itex]