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A mass on a spring vibrates horizontally on a smooth level surface. Its equation of motion...

A mass on a spring vibrates horizontally on a smooth level surface. Its equation of motion is x(t) = 8sint

where t is in seconds and x in centimeters

a) find the velocity and acceleration at time t

b) find the position, velocity and acceleration of the mass at time t = 2pi / 3

- Answer must be exact values, no decimals, i.e use the unit circle

- please include units

c) In what direction is it moving at that time? How do you know this?

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