Answer
(a) $v_x = 3.8~m/s$
$v_y = 6.5~m/s$
(b) $a_x = -1.3~m/s^2$
$a_y = 0.75~m/s^2$
(c) $F_x = -30.0~N$
$F_y = 40.0~N$
Work Step by Step
(a) $v_x = v~sin(\theta)$
$v_x = (7.5~m/s)~sin(30^{\circ})$
$v_x = 3.8~m/s$
$v_y = v~cos(\theta)$
$v_y = (7.5~m/s)~cos(30^{\circ})$
$v_y = 6.5~m/s$
(b) $a_x = -a~cos(\theta)$
$a_x = -(1.5~m/s^2)~cos(30^{\circ})$
$a_x = -1.3~m/s^2$
$a_y = a~sin(\theta)$
$a_y = (1.5~m/s^2)~sin(30^{\circ})$
$a_y = 0.75~m/s^2$
(c) $F_x = -F~sin(\theta)$
$F_x = -(50.0~N)~sin(36.9^{\circ})$
$F_x = -30.0~N$
$F_y = F~cos(\theta)$
$F_y = (50.0~N)~cos(36.9^{\circ})$
$F_y = 40.0~N$
