What is the relationship between acceleration and time a(t) for the model rocket (v(t) = at³ + ẞt + y, where a = -3.0 m/s², B = 36m/s², and y = 1.0m/s)? View Available Hint(s) a(t) = a a(t) = B a(t) = c₁t² + c2 with the constants C1 and C2 unknown because not enough information has been provided a(t) = 3at² + B a(t) = at² +B+Y Submit Previous Answers Part G Correct The acceleration of an object is the derivative with respect to time of its velocity-time relationship. Using the relationship obtained in Part F, evaluate the acceleration of the model rocket at times to = 0.0 s, t₁ = 1.0 s, and t₂ = 2.0s. 36m/s², 27 m/s², 0.0 m/s² 36m/s², 36m/s², 36m/s² a(0.0 s), a(1.0 s), a(2.0 s) = 36m/s, 27 m/s, 0.0 m/s O 36m/s², 45 m/s², 72 m/s²

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 18PQ: Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length...
Question
What is the relationship between acceleration and time a(t) for the model rocket (v(t) = at³ + ẞt + y, where a = -3.0 m/s², B = 36m/s², and y = 1.0m/s)?
View Available Hint(s)
a(t) = a
a(t) = B
a(t) = c₁t² + c2 with the constants C1 and C2 unknown because not enough information has been provided
a(t) = 3at² + B
a(t) = at² +B+Y
Submit
Previous Answers
Part G
Correct
The acceleration of an object is the derivative with respect to time of its velocity-time relationship.
Using the relationship obtained in Part F, evaluate the acceleration of the model rocket at times to = 0.0 s, t₁ = 1.0 s, and t₂ = 2.0s.
36m/s², 27 m/s², 0.0 m/s²
36m/s², 36m/s², 36m/s²
a(0.0 s), a(1.0 s), a(2.0 s) =
36m/s, 27 m/s, 0.0 m/s
O 36m/s², 45 m/s², 72 m/s²
Transcribed Image Text:What is the relationship between acceleration and time a(t) for the model rocket (v(t) = at³ + ẞt + y, where a = -3.0 m/s², B = 36m/s², and y = 1.0m/s)? View Available Hint(s) a(t) = a a(t) = B a(t) = c₁t² + c2 with the constants C1 and C2 unknown because not enough information has been provided a(t) = 3at² + B a(t) = at² +B+Y Submit Previous Answers Part G Correct The acceleration of an object is the derivative with respect to time of its velocity-time relationship. Using the relationship obtained in Part F, evaluate the acceleration of the model rocket at times to = 0.0 s, t₁ = 1.0 s, and t₂ = 2.0s. 36m/s², 27 m/s², 0.0 m/s² 36m/s², 36m/s², 36m/s² a(0.0 s), a(1.0 s), a(2.0 s) = 36m/s, 27 m/s, 0.0 m/s O 36m/s², 45 m/s², 72 m/s²
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