Question
A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 8 sin(t), where t is in seconds and x is in centimeters
equilibrium
position
(a) Find the velocity and acceleration at time t.
v(t) =
a(t) =
(b) Find the position, velocity, and acceleration of the mass at time t = 21/3.
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Transcribed Image Text

A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 8 sin(t), where t is in seconds and x is in centimeters equilibrium position (a) Find the velocity and acceleration at time t. v(t) = a(t) = (b) Find the position, velocity, and acceleration of the mass at time t = 21/3.

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