An elastic band is hung on a hook and a mass is hung on thelower end of the band

Question

An elastic band is hung on a hook and a mass is hung on thelower end of the band. when the mass is pulled downward and thenreleased, it vibrates vertically. the equation of motion is s = 2cos t + 3 sin t , t 0, where s is measured in centimeters and tin seconds. a. find the velocity and acceleration at time t b. graph the velocity and acceleration functions c. when does the mass pass through the equilibrium positionfor the first time? d. how far from its equilibrium position does the masstravel? e. when is the speed the greatest?

Explanation / Answer

a) v = -2sinnt + 3cost
a = -2cost -3sint
c) when tant = -2/3
e) when tant = -2/3

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