1. [0/20 Points] DETAILS PREVIOUS ANSWERS SERPSE10 4.1.OP.003. A golf ball is hit off a tee at the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 17.6t and y = 4.24t - 4.90t , where x and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors i and j. (Give the answer in terms of t.) r = 17.6t X The vector expression should have the x-position expression as the x-component, and the y-position expression as the y-component. m By taking derivatives, do the following. (b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.) v = 17.6t X Did you take the derivative with respect to time of each component of the position vector expression? m/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s2). a = 9.8 X Did you take the derivative with respect to time of each component of the velocity vector expression? What should the magnitude and direction of the acceleration be in this case? m/s (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.03 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s.) 53.328 X 17.6 m/s X a = -9.8 m/s22. [6.66/20 Points] DETAILS PREVIOUS ANSWERS SERPSE10 4.3.OP.010. A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.30 m/s at an angle of 21.00 below the horizontal. It strikes the ground 4.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground? 30.99 m (b) Find the height from which the ball was thrown. X The initial y component of the velocity and the acceleration are in the same direction. m (c) How long does it take the ball to reach a point 10.0 m below the level of launching? X The answer to this part does not depend on your answers to parts (a) and (b). s Need Help? Read It Watch It Submit Answer 3. [-/20 Points] DETAILS SERPSE10 4.4.P.021. A 2.00 kg granite stone is tied to a rope and spun in a circular path of radius 1.10 m. The stone obtains a maximum speed of 12.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s ) of the stone? m/s2 Need Help? Read It4. [-/20 Points] DETAILS SERPSE10 4.5.OP.024. This figure (la| = 13.5 m/s=) represents the total acceleration of a particle moving clockwise in a circle of radius / = 3.50 m at a certain instant of time. 30. (a) For that instant, find the radial acceleration of the particle. m/s2 (toward the center) (b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration. Im/s2 (in the direction of the motion) Need Help? Read It Watch It 5. [-/20 Points] DETAILS SERPSE10 4.6.OP.028. A sports car, traveling west at 87.0 km/h, is being pursued by a police cruiser, moving at 98.7 km/h. (a) Find the velocity of the sports car (magnitude and direction) relative to the police cruiser. (Give the magnitude in km/h.) magnitude km/h direction ---Select--- v (b) Find the velocity of the police cruiser (magnitude and direction) relative to the sports car. (Give the magnitude in km/h.) magnitude km/h direction ---Select--- v (c) How much time (in s) will it take the police cruiser to overtake the sports car if initially they are 250 m apart