(g) Graph the position, velocity, and acceleration functions for the first 11 seconds. y y y 8아 8아 8아 60 60 40 40 40 20 20 20 t 12 4 6 8. 10 12 2 4 6 8 10 2 6 8 10 12 y 8아 60 40아 20아 6. 8 10 12 (h) When, for 0st

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.
 
f(t) = 0.01t4 − 0.05t3
(g) Graph the position, velocity, and acceleration functions for the first 11 seconds.
y
y
y
8아
8아
8아
60
60
60
40
40
40
20아
20아
20
t
t
2
4
6
8
10
12
2
4
6
8
10
12
4
6
8
10
12
y
8아
60
40
20아
2
4
6
8
10
12
(h) When, for 0 st< o, is the particle speeding up? (Enter your answer using interval notation.)
When, for 0 <t < o, is it slowing down? (Enter your answer using interval notation.)
O X
Transcribed Image Text:(g) Graph the position, velocity, and acceleration functions for the first 11 seconds. y y y 8아 8아 8아 60 60 60 40 40 40 20아 20아 20 t t 2 4 6 8 10 12 2 4 6 8 10 12 4 6 8 10 12 y 8아 60 40 20아 2 4 6 8 10 12 (h) When, for 0 st< o, is the particle speeding up? (Enter your answer using interval notation.) When, for 0 <t < o, is it slowing down? (Enter your answer using interval notation.) O X
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