If a projectile is fired with an initial velocity of v0 meters per second at an angle α above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x = (v0 cos(α))t y = (v0 sin(α))t − 1 2 gt2 where g is the acceleration due to gravity (9.8 m/s2). (round your answers to the nearest whole number.)
(a) if a gun is fired with α = 30° and v0 = 900 m/s. when will the bullet hit the ground?
(i) when will the bullet hit the ground? (ii) how far from the gun will it hit the ground? (iii) what is the maximum height reached by the bullet?
(b) find the equation of the parabolic path by eliminating the parameter.