The given functions represent the position of a particle traveling along a horizontal line. t s(t) = 1+ t? a. Find the velocity and acceleration functions. v(t) = Preview a(t) : Preview b. Determine the time intervals when the object is slowing down or speeding up. Assume t > 0. Hint: A particle is not necessarily speeding up just because its acceleration is positive. It's slowing down on the interval: Preview no answer given Enter an interval using interval notation [more.] It's speeding up on the interval: Preview no answer given

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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The given functions represent the position of a particle traveling along a horizontal line.
t
s(t) =
1+ t?
a. Find the velocity and acceleration functions.
v(t) =
Preview
a(t) :
Preview
b. Determine the time intervals when the object is slowing down or speeding up. Assume t > 0.
Hint: A particle is not necessarily speeding up just because its acceleration is positive.
It's slowing down on the interval:
Preview
no answer given
Enter an interval using interval notation [more.]
It's speeding up on the interval:
Preview
no answer given
Transcribed Image Text:The given functions represent the position of a particle traveling along a horizontal line. t s(t) = 1+ t? a. Find the velocity and acceleration functions. v(t) = Preview a(t) : Preview b. Determine the time intervals when the object is slowing down or speeding up. Assume t > 0. Hint: A particle is not necessarily speeding up just because its acceleration is positive. It's slowing down on the interval: Preview no answer given Enter an interval using interval notation [more.] It's speeding up on the interval: Preview no answer given
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