Answer:
Option A
14.1 m/s to the right
Explanation:
From equation of conservation of linear momentum
[tex]M_rV_r+M_cV_c=M_rV_{rf}+M_cV_{cf}[/tex] where [tex]M_r[/tex] and [tex]M_c[/tex] are masses of raft and canoes respectively, [tex]V_r[/tex] and [tex]V_{rf}[/tex] are initial and final velocities of raft respectively, [tex]V_c[/tex] and [tex]V_{cf}[/tex] are the initial and final velocities of canoe respectively.
Re-arranging and making [tex]V_{cf}[/tex] the subject of the formula
[tex]V_{cf}=\frac {M_rV_r+M_cV_c-M_rV_{rf}}{M_c}[/tex]
Substituting the figures given
[tex]V_{cf}=\frac {(14 kg *16 m/s)+(16 kg*-12.5 m/s)-(14 Kg*-14.4 m/s)}{16 Kg}[/tex]
=14.1 m/s towards right
