If a projectile is fired with an initial speed of v0 ft/s at an angle above the horizontal, then its position after t seconds is given by the parametric equations x = (v0 cos())t y = (v0 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 1920 ft/s at an angle of 30° to the horizontal. (a) After how many seconds will the bullet hit the ground? (in seconds)
(b) How far from the gun will the bullet hit the ground? (Round your answer to one decimal place.) (in miles)
(c) What is the maximum height attained by the bullet? (Round your answer to one decimal place.) (in miles)