2 Find the velocity and acceleration functions. V(E)= 36²-19E MU

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Chapter1: Units, Trigonometry. And Vectors
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20. Consider a particle moving along a horizontal line according to the
equation:
x(t)=³²+20f-4
19
2
A) Find the velocity and acceleration functions.
V(t) = 3t² - 19€ +20)
a(t) = 6 -19
B) When is the particle at rest?
36²-19€+30=0
LES
C) Is the particle speeding up or slowing down at t = 3?
V3) = 3 (3)2-1913)+20 = 27 -57720 = -10
a(3) = (03)-19 = -1
[Speeding up
(D) What is the displacement of the particle over 0 to 6 seconds?
6-0 = 6
E) What is the velocity when the acceleration equals zero? (Use your
calculator.)
Transcribed Image Text:20. Consider a particle moving along a horizontal line according to the equation: x(t)=³²+20f-4 19 2 A) Find the velocity and acceleration functions. V(t) = 3t² - 19€ +20) a(t) = 6 -19 B) When is the particle at rest? 36²-19€+30=0 LES C) Is the particle speeding up or slowing down at t = 3? V3) = 3 (3)2-1913)+20 = 27 -57720 = -10 a(3) = (03)-19 = -1 [Speeding up (D) What is the displacement of the particle over 0 to 6 seconds? 6-0 = 6 E) What is the velocity when the acceleration equals zero? (Use your calculator.)
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