The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a line. a(t) = t + 8, v(0) = 6, 0 sts 10 (a) Find the velocity at time t. v(t) = m/s (b) Find the distance traveled during the given time interval. m
The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a line. a(t) = t + 8, v(0) = 6, 0 sts 10 (a) Find the velocity at time t. v(t) = m/s (b) Find the distance traveled during the given time interval. m
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 acceleration function (in m/s²) and the initial velocity are given for a particle moving along a line.
\[ a(t) = t + 8, \quad v(0) = 6, \quad 0 \leq t \leq 10 \]
(a) Find the velocity at time \( t \).
\[ v(t) = \text{\_\_\_\_\_\_\_\_\_\_\_} \, \text{m/s} \]
(b) Find the distance traveled during the given time interval.
\[ \text{\_\_\_\_\_\_\_\_\_\_\_} \, \text{m} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00ecbd56-fc6a-4f67-873f-1ec8bb7d2581%2Fe6da1683-f25b-4e98-8125-471e700a933f%2Fsyv3wkl_processed.png&w=3840&q=75)
Transcribed Image Text:The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a line.
\[ a(t) = t + 8, \quad v(0) = 6, \quad 0 \leq t \leq 10 \]
(a) Find the velocity at time \( t \).
\[ v(t) = \text{\_\_\_\_\_\_\_\_\_\_\_} \, \text{m/s} \]
(b) Find the distance traveled during the given time interval.
\[ \text{\_\_\_\_\_\_\_\_\_\_\_} \, \text{m} \]
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