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)

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Find the coordinates of point x that lies along the directed line segment from y(-8, 8) to t(-15, -13) and partitions the segment in the ratio of 5: 2.

Jim had 15 minutes to do 5 laps around his school what would his time be