5.) Find the position function r(t) of a moving particle with the given acceleration a(t), the initial position ro = 1(0), and the initial velocity to = v(0). 2 a(t) = to = 0 1o = 0 (t + 1)3 What is the particle's position at time t = 3? в) г (3) — 2-25 E) None of the above answers are correct. A) r(3) = 0.25 С) г (3) — 2.5 D) г (3) — 9

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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5.) Find the position function r(t) of a moving particle with the given acceleration a(t),
the initial position ro = r(0), and the initial velocity vo = v(0).
%3D
2
a(t) =
vo = 0 ro = 0
(t + 1)³'
What is the particle's position at time t = 3?
A) r(3) = 0.25 B) r(3) = 2.25
C) r(3) = 2.5
D) r(3) = 9
%3D
E) None of the above answers are correct.
Transcribed Image Text:5.) Find the position function r(t) of a moving particle with the given acceleration a(t), the initial position ro = r(0), and the initial velocity vo = v(0). %3D 2 a(t) = vo = 0 ro = 0 (t + 1)³' What is the particle's position at time t = 3? A) r(3) = 0.25 B) r(3) = 2.25 C) r(3) = 2.5 D) r(3) = 9 %3D E) None of the above answers are correct.
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