Calculating Relative Velocity for Walking on a Treadmill

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SUMMARY

The discussion focuses on calculating relative velocity and displacement while walking on a treadmill moving at -4 km/h. The velocity relative to the treadmill is +4 km/h, as the walker must move forward at the same speed to remain stationary on the treadmill. The velocity relative to the floor is 0 km/h, indicating no net movement. The total displacement relative to the treadmill after 15 minutes is +1 km, while the total displacement relative to the floor is 0 km.

PREREQUISITES
  • Understanding of relative velocity concepts
  • Basic knowledge of kinematics and displacement calculations
  • Familiarity with the formula v = d/t
  • Ability to convert units (e.g., minutes to hours)
NEXT STEPS
  • Study the principles of relative motion in physics
  • Learn about kinematic equations and their applications
  • Explore real-world applications of velocity and displacement calculations
  • Investigate the effects of different treadmill speeds on exercise outcomes
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Students studying physics, fitness enthusiasts using treadmills, and anyone interested in understanding motion and displacement in a controlled environment.

Jacobpm64
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You exercise by walking for 15 minutes on a treadmill that has a level track that moves at a velocity of -4km/h.

What is your velocity relative to the treadmill?

What is your velocity relative to the floor?

What is your total displacement relative to the treadmill when you finish exercising?

What is your total displacement relative to the floor when you finish exercising?
 
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At least make some guesses of your own. Can you show us that you have put some thought into the problem?
 
i can try..

What is your velocity relative to the treadmill?
I think this one would be +4km/h. Hard for me to explain why i think this, but I'll try. Uhmm the treadmill is moving backwards.. and you have to run forwards at the same speed as the treadmill so that you won't fly off the treadmill in either direction (run too slow.. and you fall off the back end.. run too fast and you fall off the front).. So, if you run at the same speed as the treadmill, but in an opposite direction, you will end up staying in one place (which is the object of the treadmill)... So, your velocity relative to the treadmill would be +4km/h? I don't know.. but that's what i think


What is your velocity relative to the floor?
Since you aren't actually moving anywhere, the velocity relative to the floor is 0km/h? I think..

What is your total displacement relative to the treadmill when you finish exercising?
Because I said the velocity that i move relative to the treadmill is +4 km/h, then to find the displacement, I can solve for displacement in the velocity formula (v = d/t), to get d = vt. Plugging in the numbers, I get 15 min x 4km/h.. convert hours to minutes... 15min x 1/15 km/min = +1 km
So, my answer is +1 km.

What is your total displacement relative to the floor when you finish exercising?
Same approach, using the answer from the 2nd question this time... d = vt... So, plugging in numbers, 15min x 0km/min = 0km
So, my answer is 0km.

Are these right? Or? Because, I do feel confused.
 

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