electrochika
  • electrochika
At time t equals or > 0, the acceleration of a particle moving on the x axis is a(t)=t+sint.?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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electrochika
  • electrochika
at t=0 the velocity of the particle is -2. for what value t will the velocity of the particle be zero?
Xishem
  • Xishem
To find a velocity equation from an acceleration equation, you need to differentiate the acceleration equation with respect to t: \[a'(t)=\cos(t)\]Now find the values for which this equation is equal to 0. \[0=\cos(t)\]\[t=\pi/2, 3\pi/2\]
TuringTest
  • TuringTest
\[v(t)=\int a(t)dt=\frac1 2t^2-\cos t+C\]\[v(0)=-1-2=C=-3\]\[v(t)=\frac1 2t^2-\cos t-3=0\]solve for t

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anonymous
  • anonymous
think this might be backwards you are given acceleration and you want velocity
TuringTest
  • TuringTest
Xishem has it backwards, yes
anonymous
  • anonymous
what turing test said.
Xishem
  • Xishem
Yep.
electrochika
  • electrochika
So t = - 2.917 and 2.917?
TuringTest
  • TuringTest
yes, and I would imagine we want the positive answer here
electrochika
  • electrochika
yeah we do
TuringTest
  • TuringTest
oh yeah, positive only it says so in the problem

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