1. 2. 3. 4. 5. 6. 7. A football is kicked with an initial velocity of 30 m/s at an angle of 50° with the horizontal. Determine the a) The time of flight, (2 points) b) the horizontal distance (2 points) c) the peak height of the football (2 points) A soccer ball is kicked from the playing field at a 45° angle. If the ball is in the air for 3 s, a) What is the initial vertical velocity? (2 points) b) What is the maximum height achieved? (2 points) Brian is attempting to high jump over a crossbar set at 2.44 m. At the instant of takeoff, his vertical velocity is 7 m/s, a) What is Brian's vertical acceleration at the instant of takeoff? (1 point) b) How much time elapses after takeoff until Brian reaches his peak height? (2 points) c) Was Brian successful at jumping over the crossbar? (2 points) A ball is kicked a horizontal distance of 45.8 m. If it reaches a maximum height of 24.2 m with a flight time of 4.4 s, was the ball kicked at a projection angle less than, greater than, or equal to 45°? Provide a mathematical rationale for your answer based on the appropriate calculations. (6 points) The relative angle at the knee changes from 180° to 85° during the down phase of a squat. If 10 complete squats are performed, what are the total angular distance and the total angular displacement of the knee? Explain your answers. (3 points) Calculate the knee angle in the following participant performing deep water running given the following coordinates: Hip (10,10), Knee (3, 6), Ankle (8, 4). (3 points) A kicker's leg is swung for 0.55 s in a counterclockwise direction while accelerating at 180 /s². Assuming that the leg started at rest, what is the angular velocity of the leg at the instant of contact with the ball? (2 points)