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 the following expressions: x = (18.0 m/s)t y = (4.00 m/s)t – (4.90 m/s²)t² a) Express the position of the ball as a function of time in terms of unit vectors. b) Express the velocity of the ball as a function of time in terms of unit vectors. c) Express the acceleration of the ball as a function of time in terms of unit vectors. Note: To express a function in terms of unit vectors, you treat the equivalent of "x" as a coefficient of î, while "y" as a coefficient of j.

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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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 the following
expressions:
x = (18.0 m/s)t
y = (4.00 m/s)t – (4.90 m/s²)t²
a) Express the position of the ball as a function of time in terms
of unit vectors.
b) Express the velocity of the ball as a function of time in terms
of unit vectors.
c) Express the acceleration of the ball as a function of time in
terms of unit vectors.
Note: To express a function in terms of
unit vectors, you treat the equivalent of
"x" as a coefficient of î, while “y" as a
coefficient of j.
Transcribed Image Text: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 the following expressions: x = (18.0 m/s)t y = (4.00 m/s)t – (4.90 m/s²)t² a) Express the position of the ball as a function of time in terms of unit vectors. b) Express the velocity of the ball as a function of time in terms of unit vectors. c) Express the acceleration of the ball as a function of time in terms of unit vectors. Note: To express a function in terms of unit vectors, you treat the equivalent of "x" as a coefficient of î, while “y" as a coefficient of j.
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