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The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = t³ - 15t², t≥ 0 (a) Find the velocity and acceleration functions. v(t)=3 t² - 30 t a(t) = 6 t-30 (b) Find the position, velocity, speed, and acceleration at time t = 2. s(2) = Speed - -52 48 ft ft/s v (2) a(2) -48 = -18 ft/s ft/s² 4

The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = t³ - 15t², t≥ 0 (a) Find the velocity and acceleration functions. v(t)=3 t² - 30 t a(t) = 6 t-30 (b) Find the position, velocity, speed, and acceleration at time t = 2. s(2) = Speed - -52 48 ft ft/s v (2) a(2) -48 = -18 ft/s ft/s² 4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(c) At what times is the particle stopped? Number of times the particle stopped: 0 (d) When is the particle speeding up? Slowing down? Speeding up: 0<t< 10 ▼ Slowing down: 0 < t < 10 (e) Find the total distance traveled by the particle from time t = 0 to time t = 12. The total distance = 180 ft 4
Transcribed Image Text:(c) At what times is the particle stopped? Number of times the particle stopped: 0 (d) When is the particle speeding up? Slowing down? Speeding up: 0<t< 10 ▼ Slowing down: 0 < t < 10 (e) Find the total distance traveled by the particle from time t = 0 to time t = 12. The total distance = 180 ft 4
The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = t³ - 15t², t≥0 (a) Find the velocity and acceleration functions. v(t) = 3 t² - 30 t a(t) = 6 t - 30 (b) Find the position, velocity, speed, and acceleration at time t = 2. s(2): Speed= - -52 48 ft ft/s v(2) = a(2) = 48 18 ft/s ft/s² 4
Transcribed Image Text:The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = t³ - 15t², t≥0 (a) Find the velocity and acceleration functions. v(t) = 3 t² - 30 t a(t) = 6 t - 30 (b) Find the position, velocity, speed, and acceleration at time t = 2. s(2): Speed= - -52 48 ft ft/s v(2) = a(2) = 48 18 ft/s ft/s² 4
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