The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a line. a(t) = t + 4, v(0) = 4, 0

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 + 4, v(0) = 4,
0 <t< 11
(a) Find the velocity at time t.
+ 4t + 4
2
v(t) :
m/s
(b) Find the distance traveled during the given time interval.
507.833
X m
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 + 4, v(0) = 4, 0 <t< 11 (a) Find the velocity at time t. + 4t + 4 2 v(t) : m/s (b) Find the distance traveled during the given time interval. 507.833 X m
The velocity function (in meters per second) is given for a particle moving along a line.
v(t) = t2 – 2t – 15,
1 <t< 6
(a) Find the displacement.
115/3
m
(b) Find the distance traveled by the particle during the given time interval.
115/3
Transcribed Image Text:The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 – 2t – 15, 1 <t< 6 (a) Find the displacement. 115/3 m (b) Find the distance traveled by the particle during the given time interval. 115/3
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