College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Is there any difference between 10 degree C and 10 C degree?
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
It's math
![(i) lim (In x)-
(j) lim xsinr
x→0+
sin 2.x + 2 arctan 3x + 3x²
(k) lim
r-0 In (1+ 3.x + sin? x) + xe™
In cos x
(1) lim
x→0 tan x2](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/8246638e-5801-4e4e-8373-69d22fb1f2a3/lsavxv_thumbnail.jpeg)
Transcribed Image Text:(i) lim (In x)-
(j) lim xsinr
x→0+
sin 2.x + 2 arctan 3x + 3x²
(k) lim
r-0 In (1+ 3.x + sin? x) + xe™
In cos x
(1) lim
x→0 tan x2
Solution
Follow-up Question
![A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/b4a2452d-5e71-4cd9-ba8d-5474dbca5110/5ycup86_thumbnail.jpeg)
Transcribed Image Text:A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Solution
Follow-up Question
![A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/49cb4bbb-12f3-45bd-85df-75263e31e2d9/lm6kw4_thumbnail.jpeg)
Transcribed Image Text:A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Solution
Follow-up Question
![A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/e41b5819-c165-4053-9df0-0d64671050ac/arxe7zd_thumbnail.jpeg)
Transcribed Image Text:A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Solution
Follow-up Question
![A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin tk
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0.
-
a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k
b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k
c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k
d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/369a20ae-eabf-4919-a510-522868fbc6ba/k4keorm_thumbnail.jpeg)
Transcribed Image Text:A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin tk
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0.
-
a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k
b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k
c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k
d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
Solution
Follow-up Question
![A particle moves along a curve whose parametric equations are x = 3e¬4, y = 4 sin 3t,
z = 5 cos 3t where t is the time.
Find the magnitudes of the velocity at t=0. a) 10.42
b) 11.42
c) 12.42
d) 13.42](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/11b046a4-4899-4f79-a3a1-29fb77398843/t65f2h5_thumbnail.jpeg)
Transcribed Image Text:A particle moves along a curve whose parametric equations are x = 3e¬4, y = 4 sin 3t,
z = 5 cos 3t where t is the time.
Find the magnitudes of the velocity at t=0. a) 10.42
b) 11.42
c) 12.42
d) 13.42
Solution
Follow-up Question
![Given a space curve C with position vector
r =
3 cos 2t i + 3 sin 2t j + (8t – 4)k
Find a unit tangent vector Urto the curve.
a) (-3/5) sin3t i+(3/5) cos 2t j + (4/5)k
b) (3/5) sin3t i+ (3/5) cos 2t j +(4/5)k
c) (-3/5) sin3t i- (3/5) cos 2t j + (4/5)k
d) (-3/5) sin3t i+ (3/5) cos 2tj - (4/5)k](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/1a945493-5886-4ef5-ab8e-ffcdb9325cbb/3pbt2_thumbnail.jpeg)
Transcribed Image Text:Given a space curve C with position vector
r =
3 cos 2t i + 3 sin 2t j + (8t – 4)k
Find a unit tangent vector Urto the curve.
a) (-3/5) sin3t i+(3/5) cos 2t j + (4/5)k
b) (3/5) sin3t i+ (3/5) cos 2t j +(4/5)k
c) (-3/5) sin3t i- (3/5) cos 2t j + (4/5)k
d) (-3/5) sin3t i+ (3/5) cos 2tj - (4/5)k
Solution
Follow-up Question
![A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin tk
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0.
-
a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k
b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k
c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k
d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/ca19a729-603f-4282-b51d-eddd920b4b25/yw3sd6e_thumbnail.jpeg)
Transcribed Image Text:A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin tk
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0.
-
a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k
b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k
c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k
d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
Solution
Follow-up Question
![A particle moves along a curve whose parametric equations are x = 3e-2t, y = 4 sin 3t,
z = 5 cos 3t where t is the time.
Find the magnitudes of the acceleration at t=0. a) 46.57
b) 44.57
c) 42.57
d) 40.57](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/6bd0412b-718f-4dbb-8708-0d50b57b3fba/3t6nuz8b_thumbnail.jpeg)
Transcribed Image Text:A particle moves along a curve whose parametric equations are x = 3e-2t, y = 4 sin 3t,
z = 5 cos 3t where t is the time.
Find the magnitudes of the acceleration at t=0. a) 46.57
b) 44.57
c) 42.57
d) 40.57
Solution
Follow-up Question
![A particle travels so that its acceleration is given by
2e-ti + 5 cos tj – 3 sin t k
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the magnitude of acceleration at t=0s
a) 4.38
b) 5.38
c) 6.38
d)7.38](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/e330a60c-c8e9-4a66-bb11-854827b00680/m7hp7a6_thumbnail.jpeg)
Transcribed Image Text:A particle travels so that its acceleration is given by
2e-ti + 5 cos tj – 3 sin t k
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the magnitude of acceleration at t=0s
a) 4.38
b) 5.38
c) 6.38
d)7.38
Solution
Follow-up Question
![d'r
If r =
(t8 + 2t)i – 3e-2tj + 2 sin 5t k, find
dt2
at t=0.
12
-12
O 21
-21](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/a3a5191e-fb70-47c2-9cc3-8138ad2ed2b2/w61v17n_thumbnail.jpeg)
Transcribed Image Text:d'r
If r =
(t8 + 2t)i – 3e-2tj + 2 sin 5t k, find
dt2
at t=0.
12
-12
O 21
-21
Solution
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