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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) = - 1 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 x o - 4· cos(t) + 3 b) Find the object's displacement (in meters) from time 0 to time 3. 1 X o 8.4355199677605 meters c) Find the total distance traveled by the object from time 0 to time 3. 2.7907 X o 9.3906171030092 meters

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) = - 1 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 x o - 4· cos(t) + 3 b) Find the object's displacement (in meters) from time 0 to time 3. 1 X o 8.4355199677605 meters c) Find the total distance traveled by the object from time 0 to time 3. 2.7907 X o 9.3906171030092 meters

Algebra & Trigonometry with Analytic Geometry
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/s?) is given by the function a(t) = 4 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) = -4 cos (t) – 3 - 4. cos(t) + 3 COS b) Find the object's displacement (in meters) from time 0 to time 3. 1 X o 8.4355199677605 meters c) Find the total distance traveled by the object from time 0 to time 3. 2.7907 X o 9.3906171030092 meters
Transcribed Image Text:The acceleration of an object (in m/s?) is given by the function a(t) = 4 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) = -4 cos (t) – 3 - 4. cos(t) + 3 COS b) Find the object's displacement (in meters) from time 0 to time 3. 1 X o 8.4355199677605 meters c) Find the total distance traveled by the object from time 0 to time 3. 2.7907 X o 9.3906171030092 meters
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