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9. A ski jumper speeds down a slope and exits the ski track in a horizontal direction with a velocity of 25 m /s where the landing incline falls off with a slope of 33, Solve the following: a. What is the half time of flight of the ski jumper? b. What is the range of the ski jumper when it lands?Find the radius of a citcularjpath on which a. car is traveling with a velocity of 25 m/ sand centripetal acceleration 0f 8.3 m / s2. What is the centripetal acceleration of the Second hand tip of a clock if it measures 1.2 cm? (1' = 1.2 cm) ' ' , From the edge of the top of a building with a height of 30.0 m, Erica kicks a soccerball with a'velocity of 12 m/s horiiontally. a. When will the soccer ball strike the ground? b. What is the velocity of the soccer ball when it strikes the ground? A police reported a car that Went straight at the edge of a cliff from a height of 54 m and landed 130 m from the base of the cliff.~ How fast is the car before it went straight off the cliff? How tall is the building if a ball is thrown horizontally with a velocity of, , 22.2 m/s from the roof of the building and lands 36 m from the base of the building? . ' g. ' How far from the base of the rock will a can land if a boy kicked it horizontally f _ r from a height of 6.5 m of the rock with a velocity of 4.0 m/ s? Let's Appraise 1. A toy race car moves in a circular track with a radius 0.75 m and a velocity of 4.5 m/s. Calculate the centripetal acceleration. 2. Determine the velocity of a locomotive train that moves in a circular curve with a radius of 250 m and a centripetal acceleration of 1.5 m /s2. 3. What is the centripetal acceleration of the riders on an amusement park called the Rotor if they are standing with their backs against the wall of a revolving cylinder with radius 4.0 m and finishes a rotation every 2.5 s?Let's Appraise 1. If a shot put is thrown, draw and label the following: a. x-component of the velocity b. y-component of the velocity c. acceleration Explain the drawing. 2. A rock is thrown with an initial velocity of 30 m /s along the vertical and 40 m /s along the horizontal. a. What is the velocity at the maximum height? b. What is the time of the half of flight? c. What is the range of the projectile?Acceleration ar = 0 av = g Time t= 2dy VIX t= g Time of flight 2vi sin e t' = g Maximum Height dy = (Visin 0)2 2g Range R = Vix)2 sin 20 g Circular Motion Centripetal Acceleration Q = r a = 72 Tangential Velocity/Speed v = gar Period T = ad = vit + gtz 2 d= vf2 - vi2 2g of2 = vi2 + 2gd vf = vi + gt t= 2d Note: In this module, the value of g that we will use is -9.8 m/s?. The negative indicates the direction which is going down. Projectile Motion Variable Horizontal (x-component) Vertical (y-component) Displacement dx = Vxt dy = viyt + 9 Displacement launched with angle dx = Vx cos 0t of projection dy = Vy sin et+ Vfx = Vix + 2axd Final velocity vfy = Viy + gt Vfx= VIX Initial velocity (launched with angle of VIX = VIX COS 0 Vly = Vy sin 0 projection)Solve the following problems by providing your complete solution. You can use the formulas above as your guide. FREE-FALL 1. Janus drops a stone from a bridge 25 m above the water. With what velocity does it hit the water? [5 pts) 2. A brick falls freely from a high scaffold and hits the ground after 3.5 seconds. How high is the scaffold? What is the velocity of the brick just before hitting the ground? [10 pts) 3. A juggler tosses three balls alternately vertically upward. Each ball has an initial velocity of 3.7 m/s. How high does each ball rise? How long does each ball remain in the air? [10 pts)