Question $3$

The position $x$ as a function of time of a particle that moves along a straight line is given by:

$x(t)=-0\mathrm{.}1t^4+0\mathrm{.}8t^3+10t-70m$

The velocity $v(t)$ of the particle is determined by the derivative of $x(t)$ with respect to $t,$ and the acceleration is $a(t)$ etermined by the derivative of wit $v(t)h$ respect to $t.$ In the command, write a code that derives an expression for the velocity and acceleration of the particle, using the subplot command plot the position of the particle; for velocity and acceleration for time between $0t8s.$

$[20$ marks$]$