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A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass \( m=0.4 \mathrm{~kg} \) is at rest on this surface. An impulse of \( 1.0 \mathrm{~N} \mathrm{~s} \) is applied to the block at time to \( t=0 \) so that it starts moving along the \( x \)-axis with a velocity \( v(t)=v_{0} e^{-t / \tau} \), where \( v_{0} \) is a constant and \( \tau=4 \mathrm{~s} \). The displacement of the block, in metres, at \( t=\tau \) is.
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