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: 2. x = (18.0 m/s)t and y = (4.00 m/s)t - (4.90 m/s²)t² (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 as a function of time and (c) the acceleration vector a as a function of time. Next use unit-vector notation to write ex- pressions for (d) the position, (e) the velocity, and (f) the acceleration of the golf ball, all at t = 3.00 s.

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
Section1.8: Some Properties Of Vectors
Problem 1.4QQ
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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:
2.
x = (18.0 m/s)t
and
y = (4.00 m/s)t – (4.90 m/s²) t²
(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
as a function of time and (c) the acceleration vector a as a
function of time. Next use unit-vector notation to write ex-
pressions for (d) the position, (e) the velocity, and (f) the
acceleration of the golf ball, all at t = 3.00 s.
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: 2. x = (18.0 m/s)t and y = (4.00 m/s)t – (4.90 m/s²) t² (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 as a function of time and (c) the acceleration vector a as a function of time. Next use unit-vector notation to write ex- pressions for (d) the position, (e) the velocity, and (f) the acceleration of the golf ball, all at t = 3.00 s.
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