Answer
+30 m/s
Work Step by Step
$a_{1}$ = 1.50$a_{2}$
v = u + at
$v_{1}$ = (36.0) + ($a_{1}$)(12)
$v_{1}$ = (36.0) + (1.50$a_{2}$)(12) = 36.0 + 18$a_{2}$
v = u + at
$v_{2}$ = (36.0 + 18$a_{2}$) + ($a_{2}$)(6) = 36.0 + 24$a_{2}$
36.0 + 24$a_{2}$ = 28.0
$a_{2}$ = (28.0 - 36.0)/24 = -1/3
$v_{1}$ = 36.0 + 18$a_{2}$ = 36.0 + 18(-1/3) = +30 m/s
