Write a MATLAB script to visualize the motion of six objects undergoing different types of motion. The positions of each object are given by the following equations:

$1.$ Object $1($Linear Motion$)$: $($x$\_1($t$)=3$t $+5)$

$2.$ Object $2($Circular Motion$)$: $($x$\_2($t$)=2$cos$($t$)),($y$\_2($t$)=2$sin$($t$))$

$3.$ Object $3($Parabolic Motion$)$: $($x$\_3($t$)=$ t$),($y$\_3($t$)=0\mathrm{.}5$t$^2)$

$4.$ Object $4($Spiral Motion$)$: $($x$\_4($t$)=2$tcos$($t$)),($y$\_4($t$)=2$tsin$($t$))$

$5.$ Object $5($Elliptical Motion$)$:$($x$\_5($t$)=3$cos$($t$)),($y$\_5($t$)=2$sin$($t$))$

$6.$ Object $6($Combined Motion$)$: $($x$\_6($t$)=4$cos$($t$)+2$t$),($y$\_6($t$)=3$sin$($t$)+0\mathrm{.}5$t$^2)$

Plot the trajectories of these six objects for the time range $($t $=0)$ to $($t $=4$pi$).$ Use different line styles and colors for each object, and include a legend, grid, and appropriate labels for the axes.