Instantaneous Acceleration in 2D Video Lessons

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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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