A quarterback takes the ball from the line of scrimmage, runs backwards for 10.0 yards, then runs sideways parallel to the line of scrimmage for 15.0 yards. At this point, he throws a 50.0-yard forward pass straight downfield, perpendicular to the line of scrimmage. What is the magnitude of the football’s resultant displacement?

A placekicker is about to kick a field goal. The ball is 21.7 m from the goalpost. The ball is kicked with an initial velocity of 19.1 m/s at an angle above the ground. Between what two angles, 0₁ and 02, will the ball clear the 2.67-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec 0 = 1/(cos) and sec²0 = 1 + tan²0.) (a) Number (b) Number Units Units 0₂

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 37.0 m, and the heights of the Jackson and Walton buildings are, respectively, 16.0 m and 20.0 m. The first balloon launched by the Jackson team hits Walton dorm 1.90 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 (b) Number i === Jackson Vo Units Units Walton H

An object is located initially at an origin. It has acceleration 3.00 m/s2, 90° and velocity 5.00 m/s, 0°. Determine the position (x, y) and the velocity (magnitude and direction) for times 1.00 s, 2.00 s and 3.00 s. Graph the position on an x-y coordinate plane for these times. Include the velocities and acceleration.