By eliminating from the ideal projectile equations show that x 2 + (y + gt 2

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By eliminating α from the ideal projectile equationsimage


show that x2 + (y + gt2/2)2 = ν02 t2. This shows that projectiles launched simultaneously from the origin at the same initial speed will, at any given instant, all lie on the circle of radius ν0t centered at (0, -gt2/2), regardless of their launch angle. These circles are the synchronous curves of the launching.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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