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casonnicole21
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A mass on a spring vibrates horizontally on a smooth level surface. Its equation of motion is

x(t) = 8 cos t,

where t is in seconds and x is in centimeters.


Find the position, velocity, and acceleration of the mass at time t = 5π/6.


x(5π/6) =

v(5π/6) =

a(5π/6) =

Verified Answer :

nobillionaireNobley

x(t) = 8 cos t
x(5π/6) = 8 cos (5π/6) = -6.928 cm = 6.928 cm

v(t) = x'(t) = d(8 cos t)/dt = -8 sin t
v(5π/6) = -8 sin (5π/6) = -4 cm/s = 4cm/s

a(x) = v'(t) = -8 sin t = -8 cos t
a(5π/6) = -8 cos (5π/6) = 6.928 cm/s^2

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