Exercise-1 In the below problems r(t) represents the position of an object at time t, v(t) represents the velocity of an object at time t, and a(t) represents the acceleration of an object at time t. All of the other parameters (a, b, 7, 6, e) are constants. Please determine the dimensions of each of the constant parameters appearing below. 1. r(t) = at 2. a(t) = 8t² [1] 3. x(t) = at³ + ßt² + yt+8 820-22 10143 (2)
Exercise-1 In the below problems r(t) represents the position of an object at time t, v(t) represents the velocity of an object at time t, and a(t) represents the acceleration of an object at time t. All of the other parameters (a, b, 7, 6, e) are constants. Please determine the dimensions of each of the constant parameters appearing below. 1. r(t) = at 2. a(t) = 8t² [1] 3. x(t) = at³ + ßt² + yt+8 820-22 10143 (2)
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Chapter1: Units, Trigonometry. And Vectors
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Please guide me in determining the dimensions of each of the constant parameters of the functions listed in the screenshot. Please refer to #12 and #14 as the correct answer is listed. Explain how to solve. Thank you.
![PHYSICS 221 FA23 EXERCISES - DIMENSIONAL ANALYSIS
Exercise-1 In the below problems z(t) represents the position of an object at time t, v(t) represents the
velocity of an object at time t, and a(t) represents the acceleration of an object at time t. All of the other
parameters (a, B, 7, 6, e) are constants. Please determine the dimensions of each of the constant parameters
appearing below.
1. r(t) = at
2. r(t) = ßt²
3. r(t) = at³ + Bt² + vt +6 [2] = [?][*
4. x(t) = asin(8t) CLI-CR323N
5. x(t) = a exp(yt³)
6. x(t)= a cos(ß exp(y(t²-8²)))
7. v(t) = a cos(Bt) + 6 sin(et)
8. v(t) = at
9. v(t) = ßt²
FOR
10. a(t) = at³ + Bt² + yt+8
11. a(t) = a sin(Bt)
12. a(z) = √² - ²2³² [*] = [T² [¹] [B]= [(']
13. v(t) = exp(cos(+)²)
dx
14. (4) = a√ [a] = [1,²]
v(x)
¹Pronunciation Hints: (a, B, 7, 6, e)=(alpha, beta, gamma, delta, epsilon)
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4effdf1a-67d0-42fb-b95c-7c4b54ad0624%2F1ad3d46d-0cc9-49b9-bd39-7ad413a04c4f%2F3swcmi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PHYSICS 221 FA23 EXERCISES - DIMENSIONAL ANALYSIS
Exercise-1 In the below problems z(t) represents the position of an object at time t, v(t) represents the
velocity of an object at time t, and a(t) represents the acceleration of an object at time t. All of the other
parameters (a, B, 7, 6, e) are constants. Please determine the dimensions of each of the constant parameters
appearing below.
1. r(t) = at
2. r(t) = ßt²
3. r(t) = at³ + Bt² + vt +6 [2] = [?][*
4. x(t) = asin(8t) CLI-CR323N
5. x(t) = a exp(yt³)
6. x(t)= a cos(ß exp(y(t²-8²)))
7. v(t) = a cos(Bt) + 6 sin(et)
8. v(t) = at
9. v(t) = ßt²
FOR
10. a(t) = at³ + Bt² + yt+8
11. a(t) = a sin(Bt)
12. a(z) = √² - ²2³² [*] = [T² [¹] [B]= [(']
13. v(t) = exp(cos(+)²)
dx
14. (4) = a√ [a] = [1,²]
v(x)
¹Pronunciation Hints: (a, B, 7, 6, e)=(alpha, beta, gamma, delta, epsilon)
1
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