find a para 0/0 A particle moves according to a law of motion s = f(t), t > 0, w f(t) = t3 - 12t² + 36t (a) Find the velocity at time t. v(t) = 3t – 24t + 36 (b) What is the velocity after 3 s? v(3) = |-9 ft/s (c) When is the particle at rest? (Enter your answer as a comma-separated list.) t = 2, 6 (d) When is the particle moving in the positive direction? (Enter your answer in interval notation.) | (0, 6] t = (e) Find the total distance traveled during the first 8 s. 32 X ft (f) Draw a diagram to illustrate the motion of the particle. t = 8 t = 4 S= -32 s = -4 t = 6 t = 3 s= 0 S = 0 t = 2 t = 1 S = - 32 t = 0 S = -4 t = 0 S= 0 S = 0 S S t = 4 t = 8 S = 4 S = 32 t = 3 t = 6 S = 0 S = 0 t = 1
find a para 0/0 A particle moves according to a law of motion s = f(t), t > 0, w f(t) = t3 - 12t² + 36t (a) Find the velocity at time t. v(t) = 3t – 24t + 36 (b) What is the velocity after 3 s? v(3) = |-9 ft/s (c) When is the particle at rest? (Enter your answer as a comma-separated list.) t = 2, 6 (d) When is the particle moving in the positive direction? (Enter your answer in interval notation.) | (0, 6] t = (e) Find the total distance traveled during the first 8 s. 32 X ft (f) Draw a diagram to illustrate the motion of the particle. t = 8 t = 4 S= -32 s = -4 t = 6 t = 3 s= 0 S = 0 t = 2 t = 1 S = - 32 t = 0 S = -4 t = 0 S= 0 S = 0 S S t = 4 t = 8 S = 4 S = 32 t = 3 t = 6 S = 0 S = 0 t = 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
Related questions
Question
2.3 pt 2
3
![find a para
0/ó
A particle moves according to a law of motion s =
f(t), t > 0, w
f(t) = t3 - 12t + 36t
(a) Find the velocity at time t.
v(t)
3t – 24t + 36
(b) What is the velocity after 3 s?
v(3) :
-9
ft/s
(c) When is the particle at rest? (Enter your answer as a comma-separated list.)
t = 2, 6
(d) When is the particle moving in the positive direction? (Enter your answer in interval notation.)
- (0, 6]
t =
(e) Find the total distance traveled during the first 8 s.
32
X ft
(f) Draw a diagram to illustrate the motion of the particle.
t = 8
s = -32
t = 4
S = -4
t = 6
t = 3
S= 0
S = 0
t = 2
t = 1
S = -32
t = 0
S = -4
t = 0
s= 0
S
S
t = 8
s = 32
t = 4
s = 4
t = 3
t = 6
s = 0
S = 0
t = 1
t = 2
t = 0
S= 4
t = 0
s = 32
S = 0
s = 0,
S
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Transcribed Image Text:find a para
0/ó
A particle moves according to a law of motion s =
f(t), t > 0, w
f(t) = t3 - 12t + 36t
(a) Find the velocity at time t.
v(t)
3t – 24t + 36
(b) What is the velocity after 3 s?
v(3) :
-9
ft/s
(c) When is the particle at rest? (Enter your answer as a comma-separated list.)
t = 2, 6
(d) When is the particle moving in the positive direction? (Enter your answer in interval notation.)
- (0, 6]
t =
(e) Find the total distance traveled during the first 8 s.
32
X ft
(f) Draw a diagram to illustrate the motion of the particle.
t = 8
s = -32
t = 4
S = -4
t = 6
t = 3
S= 0
S = 0
t = 2
t = 1
S = -32
t = 0
S = -4
t = 0
s= 0
S
S
t = 8
s = 32
t = 4
s = 4
t = 3
t = 6
s = 0
S = 0
t = 1
t = 2
t = 0
S= 4
t = 0
s = 32
S = 0
s = 0,
S
>
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