Where Can I Find Example Problems for Calculating Total Elapsed Time?

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The discussion focuses on finding example problems for calculating total elapsed time in physics scenarios involving distance, acceleration, and constant speed. The user is preparing for a grade 11 physics final exam and seeks similar practice problems, as the provided texts lack relevant examples. They propose a hypothetical problem involving a runner in a 400 m race with specific acceleration and deceleration rates. The user expresses confidence in solving these types of problems and plans to work on the example they created. The thread highlights the need for additional resources to aid in exam preparation.
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Homework Statement


Hi, I was just wondering if anybody knew where I could find some example problems involving similar scenarios as this question structure:

Calculate the total elapsed time for an object to complete a certain path (you are given the length of the path, acceleration and the constant speed of the object)

Any input would be appreciated, this is a correspondance grade 11 physics course, and I'm just working through my final exam review. There were no questions similar to this in the texts provided, however I have a good feeling I can solve these types of problems confidently. If anyone could find a similar problem on the internet I'd appreciate you posting it so I can study it for Monday. Thanks for your time.

Homework Equations





The Attempt at a Solution

 
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Can I make one up?

A person is running a 400 m race. If he can accelerate at 5 m/s^2 up to a top speed of 30 km/h, how long does it take him to finish the course? What if he decelerates at 0.1 m/s^2 immediately after reaching his top speed due to fatigue?
 
Nice question! Thanks a bunch, I'll start working on it and let you know my results :)
 
Well maybe tomorrow, been studying all night and it's already after midnight haha. Thanks again!
 
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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Thread 'Struggle to understand the concept of the question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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