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**Homework Statement**

A diver with a weight of 833 N dives from a boat with a mass of 375kg. If he leaves the boat with a velocity of 2.25m/s [W] after accelerating for 0.50s, what will be the final velocity of the boat?

**The attempt at a solution**

a

_{d}=V

_{fd}-V

_{id}/t

=2.25-0/0.5

a

_{d}=4.5m/s^2 [W]

F

_{g}=m

_{d}g

833=m(9.8)

m

_{d}=85kg

F

_{net}=m

_{d}a

_{d}

F

_{g}+F

_{d}=m

_{d}a

_{d}

833+F

_{d}=-450.5

F

_{b}+F

_{d}=0

F

_{b}= -F

_{d}

F

_{b}= 450.5N

F

_{b}=m

_{b}a

_{b}

450.5=(375)(a

_{b})

a

_{b}=1.26m/s^2

a

_{b}=V

_{fb}-V

_{ib}/t

1.26=V

_{f}-0/0.50

V

_{f}= 0.63m/s

Is this correct?