Problem 4.8

At the moment \(t=0\) a particle starts moving along the \(x\) axis so that its velocity projection varies as \(v_{x}=35 \cos \pi t \mathrm{~cm} / \mathrm{s}\) where \(t\) is expressed in seconds. Find the distance that this particle covers during \(t=2.80 \mathrm{~s}\) after the start