A Time-Varying Force Is Given By $f ( t ) = 6.3 t ^ { 2 }$

A time-varying force is given by $f ( t ) = 6.3 t ^ { 2 }$ , where $f ( t )$ is in $\mathrm { N }$ and $t$ is in seconds. The impulse this force imparts to a $7.8 - \mathrm { kg }$ mass during the time interval $t = 0$ to $t = 5$ seconds is

A) 150 kg.m/s.
B) 170 kg.m/s.
C) 260 kg.m/s.
D) 230 kg.m/s.