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A block initially at rest is pushed horizontally along a frictionless surface with a constant force. After moving a distance d the speed of the block is v. What is the speed of the block after being pushed a distance 2d?
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Find the acceleration from: V2^2 = V1^2 + 2ad with V1 = 0 Then you can find the velocity at 2d from the same equation.
v=sqrt(2 a d) thus after 2d you get sqrt(2)*v
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