Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 25.0 kg and that of the boat is 30.0 kg. (Take the package's direction of motion as positive.)

V = - 0.8 m/s

Explanation:

given,

mass of the child (m) = 25 Kg

mass of the boat (M) = 30 Kg

velocity of boat = ?

Assuming Boys throws package of mass (m₁) 6 Kg at the horizontal speed of 10 m/s

using conservation of momentum

(M + m + m₁) V = (M + m) V + m₁ v

initial velocity V = 0 m/s

(M + m + m₁) x 0 = (M + m) V + m₁ v

0 = (25+50) V + 6 x 1 0

75 V = - 60

V = - 0.8 m/s

negative direction shows that velocity in the direction opposite to the motion of package.