A particle moves according to a law of motion s= f(), t20, where t is measured seconds and s in feet. (If an answer does not exist, enter DNE.) S = f(t) = t3 - 8t2 + 26t (a) Find the velocity at time t. v(t) = ft/s

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
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A particle moves according to a law of motion s= ft), t20, where t is measured in
seconds and s in feet. (If an answer does not exist, enter DNE.)
S =
f(t) = t3 – 8t2 + 26t
%3D
(a) Find the velocity at time t.
v(t) =
ft/s
(b) What is the velocity after 1 second?
v(1) =
ft/s
(c) When is the particle at rest?
(d) When is the particle moving in the positive direction? (Enter your answer
using interval notation.)
(e) Find the total distance traveled during the first 6 seconds.
ft
Transcribed Image Text:A particle moves according to a law of motion s= ft), t20, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) S = f(t) = t3 – 8t2 + 26t %3D (a) Find the velocity at time t. v(t) = ft/s (b) What is the velocity after 1 second? v(1) = ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 seconds. ft
(h) Graph the position, velocity, and acceleration functions for 0sts 6. (A
graphing calculator is recommended.)
80
80
60
60
40
40
20
20
4
5
6.
3
4
- 20-
- 20F
80
80
60
S.
60
40
40
20
4
6.
S
- 20F
- 20
(i) When is the particle speeding up? (Enter your answer using interval
notation.)
When is it slowing down? (Enter your answer using interval notation.)
20
Transcribed Image Text:(h) Graph the position, velocity, and acceleration functions for 0sts 6. (A graphing calculator is recommended.) 80 80 60 60 40 40 20 20 4 5 6. 3 4 - 20- - 20F 80 80 60 S. 60 40 40 20 4 6. S - 20F - 20 (i) When is the particle speeding up? (Enter your answer using interval notation.) When is it slowing down? (Enter your answer using interval notation.) 20
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