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Suppose that a particle moves according to the law of motion st² 12t+24, (A) Find the velocity at time t. v(t) = (B) What is the velocity after 3 seconds? - t≥ 0. Velocity after 3 seconds = (C) Find all values of ₺ for which the particle is at rest. (If there are no such values, enter 0. If there are more than o value, list them separated by commas.)

Suppose that a particle moves according to the law of motion st² 12t+24, (A) Find the velocity at time t. v(t) = (B) What is the velocity after 3 seconds? - t≥ 0. Velocity after 3 seconds = (C) Find all values of ₺ for which the particle is at rest. (If there are no such values, enter 0. If there are more than o value, list them separated by commas.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that a particle moves according to the law of motion s = t² - 12t+24, (A) Find the velocity at time t. v(t) (B) What is the velocity after 3 seconds? = ₺≥ 0. Velocity after 3 seconds = (C) Find all values of ₺ for which the particle is at rest. (If there are no such values, enter 0. If there are more than one value, list them separated by commas.) t = (D) Use interval notation to indicate when the particle is moving in the positive direction. (If the particle is never moving in the positive direction, enter "{}" without the quotation marks.) Answer =
Transcribed Image Text:Suppose that a particle moves according to the law of motion s = t² - 12t+24, (A) Find the velocity at time t. v(t) (B) What is the velocity after 3 seconds? = ₺≥ 0. Velocity after 3 seconds = (C) Find all values of ₺ for which the particle is at rest. (If there are no such values, enter 0. If there are more than one value, list them separated by commas.) t = (D) Use interval notation to indicate when the particle is moving in the positive direction. (If the particle is never moving in the positive direction, enter "{}" without the quotation marks.) Answer =
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