Acceleration, Distance, Velocity and time equations.

AI Thread Summary
The discussion focuses on solving homework problems related to acceleration, distance, velocity, and time equations. The user is struggling with specific problems and is unsure if their equations are correct, particularly for numbers 22, 49, and 50. They mention needing clarification on the height used in calculations, specifically stating that the total height should include both the cliff height and the height achieved by a stone thrown with an initial velocity. The user typically seeks help from their teacher, who is currently unavailable. The urgency of the homework deadline adds pressure to find the correct solutions quickly.
Surgikill117
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Homework Statement



I can only attach one file So I will put a link to flickr.
http://www.flickr.com/photos/25742963@N04/sets/72157631801173637/

Homework Equations


A avg.= delta v / delta t
x=v^2/2a
t=v/a



The Attempt at a Solution



I have to do these problems for homework and usually when I have an issue with it I ask my teacher, thing is he has been out for the past two days and this is due tomorrow. All of them have work and equations on them but I do not know if they are correct. On numbers 22, 49, and 50 I could not find a logical answer. I think I may have the wrong equation for those.
 

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At your first problem, I don't think you used the correct height. Your total height equals 75 m plus the height that stone achieves after being thrown from the edge of the cliff with initial velocity of 12 m/s.
 
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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