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electrochika
 4 years ago
At time t equals or > 0, the acceleration of a particle moving on the x axis is a(t)=t+sint.?
electrochika
 4 years ago
At time t equals or > 0, the acceleration of a particle moving on the x axis is a(t)=t+sint.?

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electrochika
 4 years ago
Best ResponseYou've already chosen the best response.0at t=0 the velocity of the particle is 2. for what value t will the velocity of the particle be zero?

Xishem
 4 years ago
Best ResponseYou've already chosen the best response.0To 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
 4 years ago
Best ResponseYou've already chosen the best response.3\[v(t)=\int a(t)dt=\frac1 2t^2\cos t+C\]\[v(0)=12=C=3\]\[v(t)=\frac1 2t^2\cos t3=0\]solve for t

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0think this might be backwards you are given acceleration and you want velocity

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.3Xishem has it backwards, yes

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what turing test said.

electrochika
 4 years ago
Best ResponseYou've already chosen the best response.0So t =  2.917 and 2.917?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.3yes, and I would imagine we want the positive answer here

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.3oh yeah, positive only it says so in the problem
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