answer the following questions below. Answers are given below. you must show your solution every number.

VO 7. A daring 510-N swimmer dives off a cliff with a running horizontal leap, as shown in the Figure. What must her minimum speed be just as she leaves the top of the cliff so that she will miss the ledge at the bottom, which is 1.75 m wide and 9.00 m below the top of the cliff? 9.00 m 8. A batter hits a baseball so that it leaves the bat with an initial speed 37.0 1.75 m m/s at an initial angle 53.1, at a location. Find a) the position of the ball at t = 2.00 s. Ledge b) the magnitude and direction of its velocity, when t = 2.00 s. c) the time when the ball reaches the highest point of its flight. (Source: Young & Freedman, Univ. Physics with Modern d) its maximum height, h. Physics 13th Ed.) e) its horizontal range, R. 9. A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min (a) What is the linear speed of the blade tip, in (b) What is the radial acceleration of the blade tip expressed as a multiple of the acceleration of gravity, g? 10. A Ferris wheel of radius 12m is turning about a horizontal axis through its center, such that the linear speed of a passenger on the rim is constant and equal to 9m/s. a) What are the magnitude and direction of the acceleration of the passenger as he passes through the lowest point in his circular motion? b) How long does it take for the Ferris wheel to make one revolution? Answers: 1. a) Vave = 12m/s; b) 5. t = 4.1s b) v = 24.3 m/s, 24.20 above Vo = 0, Vios = 12 m/s; C) 6. a) x = 1.0m, y = 2.2 m, r = horizontal c) t = 3.02 s t = 13.3 s 2.4 m d) h = 44.7 m e) R = 134m 2. vo = 2.94 m/s; t = 3.0s b) AF = (-1.0m)i + (2.2m)j, 9. a) 196 m/s 3. a) x = 41 m; b) Vave = Dave = (-0.50m/s)i + (1.1 m/ b) 1.15x103g 21 m/s; C) x = 71.7 m s)j 10. a) 6.75 m/s2 b) 8.38 s 4. x = 3.6 m; v = 29.4 m/s 7. 1.29 m/s 8. a) x = 44.4 m, y = 39.6 m1. A car is stopped at the traffic light. It then travels along a straight road so that its distance from the Fight ls given by xiii) = 01:2 ct' where b=2.40 mils2 and c=0.120 m/sa. 3) Calculate the average velocity of the car for the time interval t=0 to t: 10.0 s. to Calculate the instantaneous velocity ofthe car at t=0 and t=10.0s c) How long after starting again from rest is the car again at rest. 2. if a student jumps straight up to a height of 0.440m, what ls his initial speed as it leaves the ground? How long Is he in the air? 3. A car heading east through a city accelerates after passing a signpost marking the city limits. It is accelerating at constant magnitude of 3.0 misz. At time t = 0 the car is 5.0 m east of the signpost, moving east at 15 mls. a) Find the car's position at t=2.0 s. b) Find the car's velocity at t=2.0 s. c) Where is the car when its velocity Is 25 mfs. 4. You are standing on the sci.com. building 46.0 m high above the ground. Your classmate, 1.8 m tail, is walking alongside the building at a constant speed of 1.20 mfs. If you wish to drop an egg onto his head, a) where should he be when you release the egg? Assume that the egg is in free fall. b) what will be the velocity of the egg when it him his head? 5. In a 300-m race, runner A starts from rests and accelerates at Mimi's2 for the rst 30 m and then runs at a constant speed. Runner El starts from rests and accelerates at 2.0mls2 for the rst 3001 and then runs at a constant speed. Runner A begins running as soon as the race begins but 0 rsts takes a nap to rest up. What is the longest nap that B can take and still not to lose the race? 6. You are operating a remote-controlled model car on a vacant tennis court. Your position is the origin of coordinates, and the surface of the court lies in the icy-plane. The car, which we represent as a point, has x- and y- coordinates that vary with time according to x = 2.0 m {0.25m/32):2, y = (1.0 \"1/5): + (0.025 iii/30:3 a) Find the car's coordinates and its distance from you at time t = 2.0 s. b) Find the car's displacement and average velocity vectors during the interval from t=Ostot=2.0s. c) Find the components of the average acceleration in the Interval from t = 0 s to t = 2.0 s. \"n