Suppose that the position of a particle is given by s = f(t) = 7t³ + 4t+9. (a) Find the velocity at time t. v(t) = m S (b) Find the velocity at time t = 3 seconds. m S (c) Find the acceleration at time t. a(t) = m $2 (d) Find the acceleration at time t = 3 seconds. m

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Suppose that the position of a particle is given by s = f(t) = 7t³ + 4t+9.
(a) Find the velocity at time t.
v(t) =
m
S
(b) Find the velocity at time t
=
3 seconds.
m
S
(c) Find the acceleration at time t.
a(t) =
m
$2
(d) Find the acceleration at time t = 3 seconds.
m
Transcribed Image Text:Suppose that the position of a particle is given by s = f(t) = 7t³ + 4t+9. (a) Find the velocity at time t. v(t) = m S (b) Find the velocity at time t = 3 seconds. m S (c) Find the acceleration at time t. a(t) = m $2 (d) Find the acceleration at time t = 3 seconds. m
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