Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =ti + 2²2²j+2k v(t) a(t) = |v(t) = Sketch the path of the particle and draw the velocity and acceleration vectors for t= 1. -2 -2 2₁ of -2 a(1) v(1) 2 a(1) v(1) 2 -2 X -2 0 v(1) -2 a(1) 2 v(1) N a(1) MacBook Pro

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the velocity, acceleration, and speed of a particle with the given position function.
r(t)=t1+2²1 +2k
v(t) =
a(t) =
|v(t) =
Sketch the path of the particle and draw the velocity and acceleration vectors for t= 1.
!
1
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A
F1
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2
W
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F2
#
3
a(1)
v(1)
a(1)
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E
20
F3
D
$
4
990
F4
R
F
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5
F5
T
A
6
v(1)
G
-2
MacBook Pro
M
F6
a(1)
2
v(1)
a(1)
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Y
&
7
H
F7
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8
DII
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Transcribed Image Text:Find the velocity, acceleration, and speed of a particle with the given position function. r(t)=t1+2²1 +2k v(t) = a(t) = |v(t) = Sketch the path of the particle and draw the velocity and acceleration vectors for t= 1. ! 1 O A F1 @ 2 W S z olo F2 # 3 a(1) v(1) a(1) v(1) 2 E 20 F3 D $ 4 990 F4 R F % 5 F5 T A 6 v(1) G -2 MacBook Pro M F6 a(1) 2 v(1) a(1) 2 Y & 7 H F7 U * 8 DII FB J - ( 9 F9 K O
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