Chapter 8, Problem 5P

The motion of a particle moving in the horizontal direction as shown in Fig. P8.5 is described by its position $x\left(t\right)$. Determine the position, velocity, and acceleration at $t=3.0$ s if

(a) $x\left(t\right)=4\cos \left(\frac{2}{3}\pi t\right)+3\sin \left(\frac{3}{2}\pi t\right)\text{m}$.

(b) $x\left(t\right)=3t^5-5t^2+\frac{7}{t}+2\sqrt{t}\text{m}$.

(c) $x\left(t\right)=2e^{4t}+3e^{-5t}+2\left(e^t-1\right)\text{m}$.