1. f(t) = t³ – 81² + 24t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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f(t),
1-4 A particle moves according to a law of motion s =
t> 0, wheret is measured in seconds and s in feet.
(a) Find the velocity at time t.
(b) What is the velocity after 1 second?
(c) When is the particle at rest?
(d) When is the particle moving in the positive direction?
(e) Find the total distance traveled during the first 6 seconds.
(f) Draw a diagram like Figure 2 to illustrate the motion of the
particle.
(g) Find the acceleration at time t and after 1 second.
A (h) Graph the position, velocity, and acceleration functions
for 0 < t < 6.
(i) When is the particle speeding up? When is it slowing down?
9t
1. f(t) = t³ – 8t² + 24t
2. f(t)
-
||
t² + 9
3. f(t)
sin(™t/2)
4. f(t) = t²e=+
Transcribed Image Text:f(t), 1-4 A particle moves according to a law of motion s = t> 0, wheret is measured in seconds and s in feet. (a) Find the velocity at time t. (b) What is the velocity after 1 second? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) Find the total distance traveled during the first 6 seconds. (f) Draw a diagram like Figure 2 to illustrate the motion of the particle. (g) Find the acceleration at time t and after 1 second. A (h) Graph the position, velocity, and acceleration functions for 0 < t < 6. (i) When is the particle speeding up? When is it slowing down? 9t 1. f(t) = t³ – 8t² + 24t 2. f(t) - || t² + 9 3. f(t) sin(™t/2) 4. f(t) = t²e=+
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