The equation of motion of a particle is s = 2t3 - 9t2 + 4t + 4, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) = m/s2 (c) Graph the position, velocity, and acceleration functions on the same screen. S 20 15 15 10 10 5. 5 v 3 4 -5 -5 - 10 - 10 - 15 O-15 – 20 S 15 20 10 15 10 V -5 -10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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The equation of motion of a particle is s = 2t3 - 9t2 + 4t + 4, where s is in meters and t is in seconds. (Assumet2 0.)
(a) Find the velocity and acceleration as functions of t.
v(t) =
a(t) =
(b) Find the acceleration after 1 s.
a(1) =
m/s2
(c) Graph the position, velocity, and acceleration functions on the same screen.
20
15
15
10
10
5.
5
v 3
4
-5
-5
- 10
-10
- 15
O-15
– 20
S
15
20
10
15
10
2
-5
-10아
Transcribed Image Text:The equation of motion of a particle is s = 2t3 - 9t2 + 4t + 4, where s is in meters and t is in seconds. (Assumet2 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) = m/s2 (c) Graph the position, velocity, and acceleration functions on the same screen. 20 15 15 10 10 5. 5 v 3 4 -5 -5 - 10 -10 - 15 O-15 – 20 S 15 20 10 15 10 2 -5 -10아
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