Proving Constant Velocity: Graphing and Analyzing Data

AI Thread Summary
To prove that the motorized toy cars have a constant velocity, one must graph the distance traveled against time to check for a linear relationship. A Position vs. Time graph is recommended, as a straight line indicates constant velocity. The average time taken to travel 1 meter should be calculated and plotted to assess consistency across trials. If the plotted points form a straight line, it suggests the cars maintain similar velocities, accounting for potential errors like reaction time. This method effectively demonstrates constant velocity through graphical analysis.
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Homework Statement



Prove that 2 motorized toy cars have a constant velocity.
A car was set up at a marked spot, then turned on and left to go for 3m. This was done three separate times and was timed using 2 timers (2 people).
how can i prove a constant velocity?

I have the averages for both times given and I have averaged out how long it took for the car to go 1m.

What type of graph should I used to prove a constant velocity? How do I prove a constant velocity? Position v. Time or Velocity v. Time graph?
 
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you have to measure and graph distance traveled vs. time and see if you get a straight line.
 
Ok, so I got my velocity. So I just graph the velocities on a graph and link them to see if i have a straight line? If the line/velocities are similar can i conclude that they have the same velocities (allowing room for errors, such as reaction time)?
 
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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