The acceleration of an object (in m/s²) is given by the function a(t) = 9 sin(t). The initial velocity o object is v(0) = -6 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = -9 cos (t) + 3 b) Find the object's displacement (in meters) from time 0 to time 3. 5.8584 X meters c) Find the total distance traveled by the object from time 0 to time 3. 16.7176 X meters

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The acceleration of an object (in m/s²) is given by the function a(t) = 9 sin(t). The initial velocity o
object is v(0) = -6 m/s. Round your answers to four decimal places.
a) Find an equation v(t) for the object velocity.
v(t) = −9 cos (t) + 3
b) Find the object's displacement (in meters) from time 0 to time 3.
5.8584
X meters
c) Find the total distance traveled by the object from time 0 to time 3.
16.7176
X meters
Transcribed Image Text:The acceleration of an object (in m/s²) is given by the function a(t) = 9 sin(t). The initial velocity o object is v(0) = -6 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = −9 cos (t) + 3 b) Find the object's displacement (in meters) from time 0 to time 3. 5.8584 X meters c) Find the total distance traveled by the object from time 0 to time 3. 16.7176 X meters
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