Suppose that a particle moves according to the law of motion s = t* – 8t + 16, t > 0. (A) Find the velocity at time t. v(t) = (B) What is the velocity after 3 seconds? Velocity after 3 seconds = (C) Find all values of t 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 = (E) Find the total distance traveled during the first 8 seconds. Total distance =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
Question
Suppose that a particle moves according to the law of motion
3 = t – 8t + 16,
t > 0.
-
(A) Find the velocity at time t.
v(t) =
(B) What is the velocity after 3 seconds?
Velocity after 3 seconds =
(C) Find all values of t 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
(E) Find the total distance traveled during the first 8 seconds.
Total distance
Transcribed Image Text:Suppose that a particle moves according to the law of motion 3 = t – 8t + 16, t > 0. - (A) Find the velocity at time t. v(t) = (B) What is the velocity after 3 seconds? Velocity after 3 seconds = (C) Find all values of t 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 (E) Find the total distance traveled during the first 8 seconds. Total distance
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