Find distance, velocity vectors

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The discussion centers around a user seeking help with an assignment on distance and velocity vectors, expressing frustration over the lack of coverage in lectures. The response emphasizes that while direct answers won't be provided, assistance can be offered by guiding the user through their thought processes. Participants are encouraged to share their reasoning and specific challenges to receive targeted help. The focus is on collaborative problem-solving rather than completing the assignment for the user. Overall, the thread highlights the importance of understanding concepts rather than just seeking answers.
kbowman
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Hi there, I really need help with this one part of an assignment! We never covered this in my lectures, however I have an assignment due on this.. which is not impressing me.
Even if you should tell me step by step on how I could answer this, or show me via examples used in the problem, I would be forever grateful!
Thankyou for all your help,
Kat

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Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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