anonymous
  • anonymous
the equation of motion for a particle in meters at time t seconds is s(t)=sin(pi(t)/6)+cos(pi(t)/6), 0 is less then/equal to t is less then or equal to 2. What is the acceleration at the instant the velocity is 0
Mathematics
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anonymous
  • anonymous
the equation of motion for a particle in meters at time t seconds is s(t)=sin(pi(t)/6)+cos(pi(t)/6), 0 is less then/equal to t is less then or equal to 2. What is the acceleration at the instant the velocity is 0
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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y2o2
  • y2o2
\[\huge s(t) = \sin({\pi t \over 6}) + \cos({\pi t \over 6})\] \[\huge v(t) = {ds \over dt} = {\pi \over 6} \cos({\pi t \over 6}) - {\pi \over 6}\sin({\pi t \over 6})\] \[\huge a(t) = {dv \over dt} = -({\pi \over 6 })^2 \sin({\pi t \over 6})-({\pi \over 6 })^2 \cos({\pi t \over 6})\] let v = 0 to get t then substitute with this t in the function of a
anonymous
  • anonymous
then t=3/2 a=-0.388m/s^2

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