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Answer:
[tex]\boxed {\boxed {\sf v \approx 1.46 \ m/s}}[/tex]
Explanation:
Momentum is the product of mass and velocity.
[tex]p=mv[/tex]
We know the mass is 65 kilograms and the momentum is 90 kilograms meters per second.
[tex]m= 65 \ kg \\p= 95 \ kg \ m/s[/tex]
Substitute the values into the formula.
[tex]95 \ kg \ m/s= 65 \ kg *v[/tex]
Since we are solving for velocity, we must isolate the variable (v). It is being multiplied by 65 kg. The inverse of multiplication is division, so we divide.
[tex]\frac {95 \ kg \ m/s}{65 \ kg }= \frac {65 \ kg *v}{65 \ kg}[/tex]
[tex]\frac {95 \ kg \ m/s}{65 \ kg }=v[/tex]
The kilograms cancel when divided.
[tex]1.46153846 \ m/s=v[/tex]
Let's round to the nearest hundredth. The 1 (in the thousandth place) tells us to leave the 6.
[tex]1.46 \ m/s \approx v[/tex]
The velocity is approximately 1.46 meters per second.