The acceleration of an object (in m/s2) is given by the function a(t) = 4 sin(t). The initial velocity of the object is v(0) = - 7 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = -4 cos (t) - 3 b) Find the object's displacement (in meters) from time 0 to time 3. -12 cos (t) - 9 x o -9.5644800322395 syntax incomplete. meters c) Find the total distance traveled by the object from time 0 to time 3. 0.188 10.240173024548 meters

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 104E
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The acceleration of an object (in m/s2) is given by the function a(t) = 4 sin(t). The initial velocity of the
object is v(0) =
- 7 m/s. Round your answers to four decimal places.
a) Find an equation v(t) for the object velocity.
v(t) =
-4 cos (t) - 3
b) Find the object's displacement (in meters) from time 0 to time 3.
-12 cos (t) – 9
X o -9.5644800322395 syntax incomplete. meters
c) Find the total distance traveled by the object from time 0 to time 3.
0.188
10.240173024548
meters
Transcribed Image Text:The acceleration of an object (in m/s2) is given by the function a(t) = 4 sin(t). The initial velocity of the object is v(0) = - 7 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = -4 cos (t) - 3 b) Find the object's displacement (in meters) from time 0 to time 3. -12 cos (t) – 9 X o -9.5644800322395 syntax incomplete. meters c) Find the total distance traveled by the object from time 0 to time 3. 0.188 10.240173024548 meters
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