A particle travels along the r-axis such that its velocity is given by v(t) = t0.2 – 3t + 3 cos (t2). The position of the particle is = 3 when t = 1.5. Determine the position, velocity and acceleration at time t = 1 and answer the analysis questions below. Use a calculator |3D and round your answer to the nearest thousandth.

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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H Sign in to your acc.
A particle travels along the x-axis such that its velocity is given by
v(t) = t0.2 – 3t + 3 cos (t). The position of the particle is a = 3
when t = 1.5. Determine the position, velocity and acceleration at
time t = 1 and answer the analysis questions below. Use a calculator
and round your answer to the nearest thousandth.
ACT The ACT Test for St.
- Blackman High Sch
SylvanPrep
A Delta Math
Untitled document * D Ô
File Edit View Insert Format Tools Add-ons Help
Last ed.
6 Share
100%
Normal text
Arlal
11
1
KI31 4 5I6 I7I8I9 10
12 1 13 I 14 1 15 1
The particle is moving to the (right, left) because (x(1)<0, x(1)>0, v(1) <0, v(1)>0, a(1)<0,
a(1)>0, x(1) and v(1) are opposite signs, x(1) and v(1) are the same sign, x(1) and a(1) are
opposite sign, x(1) and a(1) are the same sign, v(1) and a(1) are opposite signs, v(1) and
a(1) are the same sign.
a(1)
v(1)
a(1) =
The velocity of the particle (increasing, decreasing) because (x(1)<0, x(1)>0, v(1) <0,
v(1)>0, a(1)<0, a(1)>0, x(1) and v(1) are opposite signs, x(1) and v(1) are the same sign,
x(1) and a(1) are opposite sign, x(1) and a(1) are the same sign, v(1) and a(1) are opposite
signs, v(1) and a(1) are the same sign.
The particle is moving to the
- because
The speed of the particle (increasing, decreasing) because (x(1)<0, x(1)>0, v(1) <0, v(1)>0,
a(1)<0, a(1)>0, x(1) and v(1) are opposite signs, x(1) and v(1) are the same sign, x(1) and
a(1) are opposite sign, x(1) and a(1) are the same sign, v(1) and a(1) are opposite signs,
v(1) and a(1) are the same sign.
The velocity of the particle
v because
The particle is moving (away from, toward) the origin because (x(1)<0, x(1)>0, v(1) <0,
v(1)>0, a(1)<0, a(1)>0, x(1) and v(1) are opposite signs, x(1) and v(1) are the same sign,
x(1) and a(1) are opposite sign, x(1) and a(1) are the same sign, v(1) and a(1) are opposite
signs, v(1) and a(1) are the same sign.
The speed of the particle
because
The particle is moving
v the origin because
Transcribed Image Text:H Sign in to your acc. A particle travels along the x-axis such that its velocity is given by v(t) = t0.2 – 3t + 3 cos (t). The position of the particle is a = 3 when t = 1.5. Determine the position, velocity and acceleration at time t = 1 and answer the analysis questions below. Use a calculator and round your answer to the nearest thousandth. ACT The ACT Test for St. - Blackman High Sch SylvanPrep A Delta Math Untitled document * D Ô File Edit View Insert Format Tools Add-ons Help Last ed. 6 Share 100% Normal text Arlal 11 1 KI31 4 5I6 I7I8I9 10 12 1 13 I 14 1 15 1 The particle is moving to the (right, left) because (x(1)<0, x(1)>0, v(1) <0, v(1)>0, a(1)<0, a(1)>0, x(1) and v(1) are opposite signs, x(1) and v(1) are the same sign, x(1) and a(1) are opposite sign, x(1) and a(1) are the same sign, v(1) and a(1) are opposite signs, v(1) and a(1) are the same sign. a(1) v(1) a(1) = The velocity of the particle (increasing, decreasing) because (x(1)<0, x(1)>0, v(1) <0, v(1)>0, a(1)<0, a(1)>0, x(1) and v(1) are opposite signs, x(1) and v(1) are the same sign, x(1) and a(1) are opposite sign, x(1) and a(1) are the same sign, v(1) and a(1) are opposite signs, v(1) and a(1) are the same sign. The particle is moving to the - because The speed of the particle (increasing, decreasing) because (x(1)<0, x(1)>0, v(1) <0, v(1)>0, a(1)<0, a(1)>0, x(1) and v(1) are opposite signs, x(1) and v(1) are the same sign, x(1) and a(1) are opposite sign, x(1) and a(1) are the same sign, v(1) and a(1) are opposite signs, v(1) and a(1) are the same sign. The velocity of the particle v because The particle is moving (away from, toward) the origin because (x(1)<0, x(1)>0, v(1) <0, v(1)>0, a(1)<0, a(1)>0, x(1) and v(1) are opposite signs, x(1) and v(1) are the same sign, x(1) and a(1) are opposite sign, x(1) and a(1) are the same sign, v(1) and a(1) are opposite signs, v(1) and a(1) are the same sign. The speed of the particle because The particle is moving v the origin because
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