A super dart of mass [tex]20 \mathrm{~g}[/tex], traveling at [tex]350 \mathrm{~m} / \mathrm{s}[/tex], strikes a steel plate at an angle of [tex]30^{\circ}[/tex] with the plane of the plate, as shown in the figure. It bounces off the plate at the same angle but at a speed of [tex]320 \mathrm{~m} / \mathrm{s}[/tex]. What is the magnitude of the impulse that the plate gives to the bullet?
A) [tex]6.7 \mathrm{~N} \cdot \mathrm{s}[/tex]
B) [tex]4.3 \mathrm{~N} \cdot \mathrm{s}[/tex]
C) [tex]300 \mathrm{~N} \cdot \mathrm{s}[/tex]
D) [tex]0.52 \mathrm{~N} \cdot \mathrm{s}[/tex]
E) [tex]0.30 \mathrm{~N} \cdot \mathrm{s}[/tex]