3) Derivative Applications a) A particle moves according to the function f(t) measured in seconds and distance is in feet. 9t2 + 15t, t > 0, where t is i) Find the velocity at time t. ii) What is the velocity after 1s? After iii) When is the particle at rest? iv) Find the acceleration after 1s? after 3s? v) Find the total distance traveled during the first 8s. je Php

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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3) Derivative Applications
а)
A particle moves according to the function f (t) = t³ – 9t² + 15t, t > 0, where t is
measured in seconds and distance is in feet.
i) Find the velocity at time t.
ii) What is the velocity after 1s? After 3s?
iii) When is the particle at rest?
he Phirm
iv) Find the acceleration after 1s? after 3s?
v) Find the total distance traveled during the first 8s.
Transcribed Image Text:3) Derivative Applications а) A particle moves according to the function f (t) = t³ – 9t² + 15t, t > 0, where t is measured in seconds and distance is in feet. i) Find the velocity at time t. ii) What is the velocity after 1s? After 3s? iii) When is the particle at rest? he Phirm iv) Find the acceleration after 1s? after 3s? v) Find the total distance traveled during the first 8s.
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