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Answer :
Answer:
34.6 m/s
Explanation:
Considering the law of conservation of linear momentum, the sum of initial and final momentum are equal. Momentum, p is given by mv where m is the mass of object and v is the velocity of the object. For this question
[tex]M_iv_i=M_fv_f[/tex]
where subscripts I and f represent initial and final
The initial mass compose of all the three kids but the final mass excludes kid A
Substituting 19.8 m/s for initial velocity and the other masses as given then
the initial mass is 42.8+31.5+25.9=100.2 Kg
Final mass is 31.5+25.9=57.4 Kg
[tex]100.2*19.8=57.4v_f\\v_f=\frac {100.2*19.8}{57.4}=34.56376307\ m/s\approx 34.6\ m/s[/tex]
Therefore, the new velocity is 34.6 m/s
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