How Do I Correctly Isolate Variables in Physics Equations?

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AI Thread Summary
The discussion focuses on isolating variables in physics equations, specifically how to isolate v1 in the equation d=(v1+v2/2)t. The user initially struggles with the isolation process but demonstrates an understanding of rearranging the equation to get t on one side. After some attempts, they successfully isolate v1, arriving at the equation v1 = d/t - 1/2at^2. The conversation highlights the importance of step-by-step problem-solving in physics. Overall, the user gains clarity on isolating variables for their upcoming quiz.
CanadianPhys
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Homework Statement


Alright so I'm in grade 11 Phys Uni-prep class(in Canada so I am like 10x behind comparing to the states) and I'm having troubles Isolating some stuff.


Homework Equations


Eg.
d=(v1+v2/2)t
So let's say I want to isolate v1. I know how to isolate it for t which would be
d/v1+v2/2=t

The Attempt at a Solution


So my attempt for isolating v1 would be wrong which i already know.
v1=... from d=(v1+v2/2)t

Plz need some help before thrusday, have a small quiz
I know what to do when I get the numbers, just some of the isolation stuff I am iffy about.
ty
 
Last edited:
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Lets get the t on the other side:

d/t = v_1 + {v_2}/2

Does this help??

Sam
 
possibly,
but i was hoping(im not sure if this is possible I am just giviing myself random questions to do)
v1=...
 
i got it :)

the answer was
v1= d/t - 1/2at^2

i did it step by step and i did it
 
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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