Suppose that the position of a particle is given by s(t) = 3t³ + 2t + 9. (a) Find the velocity at time t. v(t) = m S m (b) Find the velocity at time t S m (c) Find the acceleration at time t. a(t) = 3 seconds. m 82 (d) Find the acceleration at time t = 3 seconds.

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...
Question
Suppose that the position of a particle is given by s(t) = 3t³ + 2t + 9.
(a) Find the velocity at time t.
v(t) =
m
S
m
S
(b) Find the velocity at time t = 3 seconds.
(c) Find the acceleration at time t.
a(t) =
g2
h
8²
(d) Find the acceleration at time t =
3 seconds.
Transcribed Image Text:Suppose that the position of a particle is given by s(t) = 3t³ + 2t + 9. (a) Find the velocity at time t. v(t) = m S m S (b) Find the velocity at time t = 3 seconds. (c) Find the acceleration at time t. a(t) = g2 h 8² (d) Find the acceleration at time t = 3 seconds.
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