# Problem: 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 5 18.0t and y 5 4.00t 2 4.90t 2 where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time using the unit vectors i ^ and j ^. By taking derivatives obtain expressions for (b) the velocity vector v S as a function of time and (c) the acceleration vector a S as a function of time. (d) Next use unit-vector notation to write expressions for the position the velocity and the acceleration of the golf ball at t 5 3.00 s.

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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 5 18.0t and y 5 4.00t 2 4.90t 2 where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time using the unit vectors i ^ and j ^. By taking derivatives obtain expressions for (b) the velocity vector v S as a function of time and (c) the acceleration vector a S as a function of time. (d) Next use unit-vector notation to write expressions for the position the velocity and the acceleration of the golf ball at t 5 3.00 s.

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Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Acceleration in 2D concept. You can view video lessons to learn Instantaneous Acceleration in 2D. Or if you need more Instantaneous Acceleration in 2D practice, you can also practice Instantaneous Acceleration in 2D practice problems.