The acceleration of a particle is given by a$=$At$=$ where A$=1\mathrm{.}8$ m$/$s$52$m$/$s$52.$ At t$=0=0,$ v$=6\mathrm{.}3$ m$/$sm$/$s and x$=0=0.$

$1.$ What is the speed as a function of time?

v$=6\mathrm{.}3$m$/$s$+(1\mathrm{.}8$m$/$s$52)$t$=6\mathrm{.}3$m$/$s$+(1\mathrm{.}8$m$/$s$52)$

v$=6\mathrm{.}3$m$/$s$+32(1\mathrm{.}8$m$/$s$52)$t$32=6\mathrm{.}3$m$/$s$+32(1\mathrm{.}8$m$/$s$52)32$

v$=6\mathrm{.}3$m$/$s$+23(1\mathrm{.}8$m$/$s$52)$t$32=6\mathrm{.}3$m$/$s$+23(1\mathrm{.}8$m$/$s$52)32$

v$=6\mathrm{.}3$m$/$s$+(1\mathrm{.}8$m$/$s$52)$t$32=6\mathrm{.}3$m$/$s$+(1\mathrm{.}8$m$/$s$52)32$

$2.$ What is the displacement as a function of time?

x$=(6\mathrm{.}3$m$/$s$)$t$+25(1\mathrm{.}8$m$/$s$52)$t$52=(6\mathrm{.}3$m$/$s$)+25(1\mathrm{.}8$m$/$s$52)52$

x$=(6\mathrm{.}3$m$/$s$)$t$+415(1\mathrm{.}8$m$/$s$52)$t$52=(6\mathrm{.}3$m$/$s$)+415(1\mathrm{.}8$m$/$s$52)52$

x$=(6\mathrm{.}3$m$/$s$)$t$+35(1\mathrm{.}8$m$/$s$52)$t$52=(6\mathrm{.}3$m$/$s$)+35(1\mathrm{.}8$m$/$s$52)52$

x$=(6\mathrm{.}3$m$/$s$)$t$+(1\mathrm{.}8$m$/$s$52)$t$52=(6\mathrm{.}3$m$/$s$)+(1\mathrm{.}8$m$/$s$52)52$

$3.$ What is the acceleration at t$=5\mathrm{.}6$ ss $?$

Express your answer using two significant figures.

$4.$ What is the speed at t$=5\mathrm{.}6$ ss $?$

Express your answer using two significant figures.

$5.$ What is the displacement at t$=5\mathrm{.}6$ ss $?$

Express your answer using two significant figures.