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7.1: No Air Resistance
https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/07%3A_Projectiles/7.01%3A_No_Air_Resistance
The range on the horizontal plane is 2A, or $\frac{V_{0}^{2}\sin^{2}2\alpha}{g}$ The greatest range on the horizontal plane is obtained when $\sin 2\alpha$ = 1, or $\alpha$ = 45 o . The great...The range on the horizontal plane is 2A, or $\frac{V_{0}^{2}\sin^{2}2\alpha}{g}$ The greatest range on the horizontal plane is obtained when $\sin 2\alpha$ = 1, or $\alpha$ = 45 o . The greatest range on the horizontal plane is therefore $\frac{V_{0}^{2}}{g}$ The maximum height reached is B, or $\frac{V_{0}^{2}\sin^{2}\alpha}{2g}$ The distance between vertex and focus is a, or $\frac{V_{0}^{2}\cos^{2}\alpha}{2g}$ .The focus is above ground if this is less than the maximum heigh…

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