If a projectile is fired with an initial speed of ft/s at an angle ? above the horizontal, then its position after t seconds is given by the parametric equations x = (cos?)t and y = (sin?)t - 16t² where x and y are measured in feet. Suppose a gun fires a bullet into the air with an initial speed of 1024 ft/s at an angle of 30° to the horizontal. How far from the gun will the bullet hit the ground?

(a) 2.3 mi
(b) 3.2 mi
(c) 28.8 mi
(d) 4.5 mi
(e) 5.4 mi


(e) 5.4 mi

Mathematics

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