The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial velocity of object is v(0) = -11 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t)- 6 cos (t)-5 b) Find the object's displacement (in meters) from time 0 to time 3. -14.3624 x meters c) Find the total distance traveled by the object from time 0 to time 3. 14.3624 x 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) = 6 sin(t). The initial velocity of the
object is v(0) = -11 m/s. Round your answers to four decimal places.
a) Find an equation v(t) for the object velocity.
v(t) = -6 cos (t) - 5
b) Find the object's displacement (in meters) from time 0 to time 3.
-14.3624
x meters
c) Find the total distance traveled by the object from time 0 to time 3.
14.3624
x meters
Transcribed Image Text:The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial velocity of the object is v(0) = -11 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = -6 cos (t) - 5 b) Find the object's displacement (in meters) from time 0 to time 3. -14.3624 x meters c) Find the total distance traveled by the object from time 0 to time 3. 14.3624 x meters
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