A quarterback takes the ball from the line of scrimmage, runs backwards for 9.0 yards, then runs sideways parallel to the line of scrimmage for 15.0 yards. At this point, he throws a 42.0-yard forward pass straight downfield, perpendicular to the line of scrimmage. What is the magnitude of the football's resultant displacement? (in yards)

In the final game of last year’s regular season, Moscow was playing Lewiston for the Conference Championship.  In the last play of the game, star quarterback Skinner took a snap from scrimmage and scooted backwards (north) 8.0 yards.  He then ran sideways (west) for 12.0 yards before finally throwing a 34.0-yard pass directly downfield (southward) to Kendall for the game-winning touchdown.  Determine the magnitude and direction of the ball’s displacement

In the annual battle of the dorms, students gather on the roofs of Jackson and Walton dorms to launch water balloons at each other with slingshots. The horizontal distance between the buildings is 36.0 m, and the heights of the Jackson and Walton buildings are, respectively, 18.0 m and 20.0 m. The first balloon launched by the Jackson team hits Walton dorm 2.00 s after launch, striking it halfway between the ground and the roof. Ignore air resistance. (a) Find the direction of the balloon's initial velocity. Give your answer as an angle (in degrees) measured above the horizontal. (b) A second balloon launched at the same angle hits the edge of Walton's roof. Find the initial speed of this second balloon. (a) Number i Jackson VO Units ====== ===== --0- MacBook Air --7 17 10 17 Walton H

Mt. Asama, Japan, is an active volcano. In 2009, an eruption threw solid volcanic rocks that landed 1 km horizontally from the crater. If the volcanic rocks were launched at an angle of 44° with respect to the horizontal and landed 905 m below the crater, find the following. (a)their initial velocity (Enter the magnitude in m/s.) (b)their time of flight (in s)