The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial velocity of the object is v(0) = -1 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters

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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The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial velocity of the
object is v(0) = -1 m/s. Round your answers to four decimal places.
a) Find an equation v(t) for the object velocity.
v(t) =
b) Find the object's displacement (in meters) from time 0 to time 3.
meters
c) Find the total distance traveled by the object from time 0 to time 3.
meters
Transcribed Image Text:The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial velocity of the object is v(0) = -1 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters
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