A particle moves in a straight line and has an acceleration given by \(a(t)=\sin t+3\cos t\text{.}\) Its initial velocity \(v(0)=2\) cm/s and its initial displacement is \(s(0)=0\) cm. Find its ...

For example in mechanics, the rate of change of displacement (with respect to time) is the velocity ... function \(f\textquotesingle(x)\). For an equation beginning \(y =\), the rate of change ...