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 = 17.8t and y = 4.28t - 4.90t2, where x and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and j. (Give the answer in terms of t.) r = m By taking derivatives, do the following. (b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.) m/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s2). m/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
Section: Chapter Questions
Problem 46P: Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y...
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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 = 17.8t and y = 4.28t – 4.90t2, where x and y are in meters and t is in
seconds. (Do not include units in your answer.)
(a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and j. (Give the answer in terms of t.)
r =
m
By taking derivatives, do the following.
1:
(b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.)
v =
m/s
(c) Obtain the expression for the acceleration vector a as a function of time (in m/s2).
a =
m/s2
(d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.73 s. (Assume the position is in m, the velocity is in
m/s and the acceleration is in m/s2.)
m/s
Activate Windows
Go to Settings to activate Windows.
a =
m/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 x = 17.8t and y = 4.28t – 4.90t2, where x and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and j. (Give the answer in terms of t.) r = m By taking derivatives, do the following. 1: (b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.) v = m/s (c) Obtain the expression for the acceleration vector a as a function of time (in m/s2). a = m/s2 (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.73 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s2.) m/s Activate Windows Go to Settings to activate Windows. a = m/s?
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