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The Fundamental Equation of Dynamics

Problem 1.103

A body of mass mm rests on a horizontal plane with the friction coefficient kk. At the moment t=0t=0 a horizontal force is applied to it, which varies with time as F=at,\mathbf{F}=\mathbf{a} t, where a is a constant vector. Find the distance traversed by the body during the first t seconds after the force action began

Reveal Answer
1.103. s=1/6a(t−t0)3/m,s=1 / 6 a\left(t-t_{0}\right)^{3} / m, where t0=kmg/at_{0}=k m g / a is the moment of time at which the motion starts. At t⩽t0t \leqslant t_{0} the distance is s=0s=0
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