1. [-/20 Points] DETAILS SERPSE10 4.1.OP.003. MY NOTES ASK YO 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.) 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.) m/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s2). m/s2 (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 .) m/s a m/s=2. [-/20 Points] DETAILS SERPSE10 4.3.OP.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 21.0 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? m (b) Find the height from which the ball was thrown. m (c) How long does it take the ball to reach a point 10.0 m below the level of launching? S Need Help? Read It Watch It 3. [-/20 Points] DETAILS SERPSE10 4.4.P.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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/s24. [-/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. 30.0 (a) For that instant, find the radial acceleration of the particle. m/s' (toward the center) [b) For that instant, find the speed of the particle. m/s (c) For that instant, find its tangential acceleration.m/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