A particle starts at point A with a constant $-4-$

QUESTION $5$

A particle starts to move at point $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ with a constant acceleration of $\backslash (3\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash )$ until it reaches point $\backslash (\backslash$boldsymbol$\{$B$\}\backslash )$ with a speed of $\backslash (60\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ),$ as shown in Figure $5.$ Between points $\backslash (\backslash$boldsymbol$\{$B$\}\backslash )$ and $\backslash (\backslash$boldsymbol$\{$C$\}\backslash ),$ it decelerates with a constant deceleration of $\backslash (6\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash )$ for $5$ s $.$ Determine:

$5\mathrm{.}1$ The distance travelled between $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ and $\backslash (\backslash$boldsymbol$\{$C$\}\backslash ).$

$5\mathrm{.}2$ The time taken to travel from $\backslash (\backslash$mathbf$\{$A$\}\backslash )$ to $\backslash (\backslash$boldsymbol$\{$C$\}\backslash ).$

$5\mathrm{.}3$ The velocity at $\backslash ($ C $\backslash ).$

$(7)$

$(4)$

$(3)$