Answer
(a) $r_x = 70.7~m$
$r_y = -70.7~m$
(b) $v_x = 282~m/s$
$v_y = 103~m/s$
(c) $a_x = 0$
$a_y = -5.0~m/s^2$
Work Step by Step
(a) $r_x = r~cos(\theta)$
$r_x = (100~m)~cos(45^{\circ})$
$r_x = 70.7~m$
$r_y = -r~sin(\theta)$
$r_y = -(100~m)~sin(45^{\circ})$
$r_y = -70.7~m$
(b) $v_x = v~cos(\theta)$
$v_x = (300~m/s)~cos(20^{\circ})$
$v_x = 282~m/s$
$v_y = v~sin(\theta)$
$v_y = (300~m/s)~sin(20^{\circ})$
$v_y = 103~m/s$
(c) $a_x = 0$
$a_y = -5.0~m/s^2$