3. A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² — 16t+30 in t≥ 0 seconds. a. If the particle is 33 m to the right of the origin at t = 2 seconds, determine the position function of the particle. b. On which time interval(s) is (are) the particle slowing down? c. What is the total distance travelled by the particle after 4 seconds?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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3. A particle is moving along a horizontal line such that its velocity in m/s is given by
v(t) = 2t² — 16t + 30 in t≥ 0 seconds.
a. If the particle is 33 m to the right of the origin at t = 2 seconds, determine the position
function of the particle.
b. On which time interval(s) is (are) the particle slowing down?
c. What is the total distance travelled by the particle after 4 seconds?
Transcribed Image Text:3. A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² — 16t + 30 in t≥ 0 seconds. a. If the particle is 33 m to the right of the origin at t = 2 seconds, determine the position function of the particle. b. On which time interval(s) is (are) the particle slowing down? c. What is the total distance travelled by the particle after 4 seconds?
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