A polo ball is hit with a mallet off the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 17.3t and y = 4.40t – 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 i and j. (Give the answer in terms of t.) 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/s?). m/s?
A polo ball is hit with a mallet off the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 17.3t and y = 4.40t – 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 i and j. (Give the answer in terms of t.) 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/s?). m/s?
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...
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![A polo ball is hit with a mallet off the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 17.3t and y = 4.40t – 4.90t2, where x and y are in meters andt 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 ĵ. (Give the answer in terms of t.)
r =
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/s?).
a =
m/s?
(d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the polo ball att = 3.24 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s?.)
r =
v =
m/s
a =
m/s?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e0850d0-ef9b-49b5-b02a-57a1495c3eab%2F4da1f8f9-3826-49a3-a5fc-3e8770582d88%2Fgjarh9_processed.png&w=3840&q=75)
Transcribed Image Text:A polo ball is hit with a mallet off the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 17.3t and y = 4.40t – 4.90t2, where x and y are in meters andt 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 ĵ. (Give the answer in terms of t.)
r =
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/s?).
a =
m/s?
(d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the polo ball att = 3.24 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s?.)
r =
v =
m/s
a =
m/s?
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