The position of a projectile fired with an initial

Chapter 10, Problem 60

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The position of a projectile fired with an initial velocity y0 feet per second and at an angle u to the horizontal at the end of t seconds is given by the parametric equations x = 1y0 cos u2t y = 1y0 sin u2t - 16t 2 See the illustration. R (a) Obtain the rectangular equation of the trajectory and identify the curve. (b) Show that the projectile hits the ground 1y = 02 when t = 1 16 y0 sin u.

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