Answer
$v_A=19.4$ m/s
$t_{AB}=4.54$ s
Work Step by Step
$s=v_0t$
$100(\frac{4}{5})=v_a\cos 25t_{AB}$
$s=s_0+v_0t+\frac{1}{2}a_ct^2$
$-4-100(\frac{3}{5})=0+v_A\sin 25t_{AB}+\frac{1}{2}(-9.81)t^2_{AB}$
Solving
$v_A=19.4$ m/s
$t_{AB}=4.54$ s