Answer
displacement $0$ meters
distance $6$ meters
Work Step by Step
displacement
= $\int_0^{3\pi}(cost)dt$
= $sint |_0^{3\pi}$
= $0$ meters
distance
$cost$ = $0$
$t$ = $\frac{\pi}{2},\frac{3\pi}{2},\frac{5\pi}{2},...$
= $\int_0^{\frac{\pi}{2}}(cost)dt$ + $\int_{\frac{\pi}{2}}^{\frac{3\pi}{2}}(cost)dt$ + $\int_{\frac{3\pi}{2}}^{\frac{5\pi}{2}}(cost)dt$ + $\int_{\frac{5\pi}{2}}^{3\pi}(cost)dt$
= $sint |_0^{\frac{\pi}{2}}$ + $sint |_{\frac{\pi}{2}}^{\frac{3\pi}{2}}$ + $sint |_{\frac{3\pi}{2}}^{\frac{5\pi}{2}}$ + $sint |_{\frac{5\pi}{2}}^{3\pi}$
= $6$ meters
