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=18.0t and y=4.00t−4.90t 2 , where x and y are in meters and t is in seconds. (a) Write a vector expression for the balls position as a function of time, using the unit vectors i^ and j^ . By taking derivatives, obtain expressions for (b) the velocity vector v as a function of time and (c) the acceleration vector a 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=3.00s.

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=18.0t and y=4.00t−4.90t 2 , where x and y are in meters and t is in seconds. (a) Write a vector expression for the balls position as a function of time, using the unit vectors i^ and j^ . By taking derivatives, obtain expressions for (b) the velocity vector v as a function of time and (c) the acceleration vector a 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=3.00s.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 13OQ: Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector...

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