An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s(t) = 2 cost + 3 sint, t≥ 0, where s is measured in centimeters and t in seconds. (We take the positive direction to be downward.) (a) Find the velocity function. (b) When does the mass pass through the equilibrium position for the first time? (c) How far from its equilibrium position does the mass travel? **For parts (b) and (c), round your answer to the nearest hundredth. v(t) t= d= sec cm

An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s(t) = 2 cost + 3 sint, t≥ 0, where s is measured in centimeters and t in seconds. (We take the positive direction to be downward.) (a) Find the velocity function. (b) When does the mass pass through the equilibrium position for the first time? (c) How far from its equilibrium position does the mass travel? **For parts (b) and (c), round your answer to the nearest hundredth. v(t) t= d= sec cm

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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