If a projectile is fired with an initial velocity of vo meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations below. x = (vocos(a)) t y = (vosin(a)) t - 4.9t² (a) A gun is fired with a = 30° and vo= 800 m/s. (Round your answers to the nearest whole number.) (i) When will the bullet hit the ground? S (ii) How far from the gun will it hit the ground? m (iii) What is the maximum height reached by the bullet? m (b) Find the equation of the parabolic path by eliminating the parameter. (Use alpha for a and v_0 for vo.) y =

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