s = t³ - 8t² + 2t, t≥ 0, where t is measured in seconds and s in feet. (a) Find the average velocity over the interval [1, 3] Answer: ft Σ 8 (b) Find the velocity at time t. ft Answer: S (c) What is the velocity after 3 seconds? ft Answer: Σ (d) What is the acceleration after 6 seconds? ft Answer: Σ 8² (e) For t > 0, when is the particle moving in the positive direction? Answer: M

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 7P
Question
t³ - 8t² + 2t,
S
t> 0,
where t is measured in seconds and s in feet.
(a) Find the average velocity over the interval [1, 3]
ft
Answer:
(b) Find the velocity at time t.
Answer:
(c) What is the velocity after 3 seconds?
Answer:
(d) What is the acceleration after 6 seconds?
ft
Answer:
8²
S
(e) For t > 0, when is the particle moving in the positive direction?
Answer:
M
W
M
M
ft
ft
W
Transcribed Image Text:t³ - 8t² + 2t, S t> 0, where t is measured in seconds and s in feet. (a) Find the average velocity over the interval [1, 3] ft Answer: (b) Find the velocity at time t. Answer: (c) What is the velocity after 3 seconds? Answer: (d) What is the acceleration after 6 seconds? ft Answer: 8² S (e) For t > 0, when is the particle moving in the positive direction? Answer: M W M M ft ft W
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