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. If the particle is 33 m to the right of the origin at t = 2 seconds, determine the position function of the particle. ● On which time interval(s) is (are) the particle slowing down? Create a table. ● 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
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A particle is moving along a horizontal line such that its velocity in m/s is given by
v(t) = 2t² 16t+ 30 in t20 seconds.
●
If the particle is 33 m to the right of the origin at t = 2 seconds, determine the position
function of the particle.
●
On which time interval(s) is (are) the particle slowing down? Create a table.
●
What is the total distance travelled by the particle after 4 seconds?
Transcribed Image Text:A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² 16t+ 30 in t20 seconds. ● If the particle is 33 m to the right of the origin at t = 2 seconds, determine the position function of the particle. ● On which time interval(s) is (are) the particle slowing down? Create a table. ● What is the total distance travelled by the particle after 4 seconds?
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