A solid horizontal surface is covered with a thin layer of oil

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass

m = 0.4\text{ kg}

is at rest on this surface. An impulse of

1.0\text{ Ns}

is applied to the block at time

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\text{ s}

. The displacement of the block, in metres, at

t = \tau

is _____. Take

e^{-1} = 0.37