Finding Time when given velocity, distance, and mass

AI Thread Summary
To solve for time in a kinematics problem involving mass, velocity, distance, and gravity, the equation Vf = Vi + g*t can be used. Rearranging this gives t = (Vf - Vi) / g. This approach is valid if the motion is solely influenced by gravity and it remains constant. The discussion confirms that this equation is appropriate for the given conditions. Understanding the relationship between velocity and gravity is crucial for accurate calculations in physics problems.
fantasy15
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Homework Statement


I only need help with a portion of a problem. I'd rather not post the entire question, its very long. I just need to know which kinematic equation I can use to solve for time.
I'm given:
-Mass
-Velocity (Initial and Final)
-Distance
-Gravity (1/6 of Earth's)

Homework Equations


I was thinking about using Vf=Vi+g*t

The Attempt at a Solution


Vf=Vi+g*t
Vf-Vi=g*t
(Vf-Vi)/g=t

Is that correct?
 
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Hi fantasy15. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

If the body's motion is influenced by gravity alone, and gravity is constant, then that equation is applicable.
 
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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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