An object oscillates up and down on the end of a spring, with acceleration (in m/s²) given by the functiona(t) = 9 sin(πt). The initial velocity of the object is v(0) = 0 m/s, and its initial position is s(0) = −3m.a) Find an equation v(t) for the object's velocity. Use exact values.v(t) =b) Find an equation s(t) for the object's position. Use exact values.s(t) =

Here we have to find the velocity and distance function.

Answered: An object oscillates up and down on the…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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An object of mass 5 kg is released from rest 3000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? Assume that the acceleration due to gravity is 9.81 m/sec and let x(t) represent the distance the object has fallen in t seconds. dv First write mat = mg - bv, v(0)=v in terms of the given information. v(0) =

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