Answer
(a) $v_x = 0$
$v_y = -10~m/s$
(b) $a_x = 17~m/s^2$
$a_y = -10~m/s^2$
(c) $F_x = -60.0~N$
$F_y = 80.0~N$
Work Step by Step
(a) $v_x = 0$
$v_y = -10~m/s$
(b) $a_x = a~cos(\theta)$
$a_x = (20~m/s^2)~cos(30^{\circ})$
$a_x = 17~m/s^2$
$a_y = -a~sin(\theta)$
$a_y = -(20~m/s^2)~sin(30^{\circ})$
$a_y = -10~m/s^2$
(c) $F_x = -F~sin(\theta)$
$F_x = -(100~N)~sin(36.9^{\circ})$
$F_x = -60.0~N$
$F_y = F~cos(\theta)$
$F_y = (100~N)~cos(36.9^{\circ})$
$F_y = 80.0~N$