The position of a particle moving along $x$ axis is given by $x=-6t^2+4t^3,$ where $x$ is in meters and $t$ is in seconds. Determine:

a$)$ The position of the particle at $t=5\mathrm{.}0[s].$

b$)$ The velocity of the particle at $t=5\mathrm{.}0[s].$

c$)$ The acceleration of the particle at $t=5\mathrm{.}0[s].$

$0\mathrm{.}1$ p$.$

$0\mathrm{.}1$ p$.$

d$)$ What is the maximum positive coordinate reached by the particle?

$0\mathrm{.}1p.$

e$)$ What is the maximum positive velocity reached by the particle?

$0\mathrm{.}1p.$

$0\mathrm{.}1$ p$.$