Respuesta :

Answer:

[tex]\boxed {\boxed {\sf v= 4.5 \ m/s}}[/tex]

Explanation:

The formula for momentum is:

[tex]p=mv[/tex]

(p is momentum, m is mass, and v is velocity)

Let's rearrange the formula for velocity, or v.

[tex]\frac{p}{m} =v[/tex]

Velocity can be found by dividing the momentum by the mass.

The momentum is 180 kilograms meter per second. The mass of the boy is 40 kilograms.

[tex]p=180 \ kg*m/s \\m=40 kg[/tex]

Substitute the values into the formula.

[tex]v=\frac{180 \ kg*m/s}{40 \ kg}[/tex]

Divide. Note that the kilograms or "kg" will cancel each other out.

[tex]v=\frac{180 \ m/s}{40 }[/tex]

[tex]v= 4.5 \ m/s[/tex]

The velocity of the boy is 4.5 meters per second.