Which object has the greatest final velocity?

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SUMMARY

In the discussion regarding which object achieves the greatest final velocity, three objects are compared: Object A, dropped straight down; Object B, sliding down an angled ramp; and Object C, sliding down a curved ramp. All objects have equal mass, shape, and initial conditions, with no friction involved. The Brachistochrone problem is referenced, indicating that Object C, which follows a curved path, will have the greatest final velocity due to its optimal descent path, while Object A will have the shortest time interval to reach the ground.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity and acceleration
  • Familiarity with the Brachistochrone problem
  • Knowledge of kinematics and motion equations
  • Concept of frictionless surfaces in physics
NEXT STEPS
  • Research the Brachistochrone problem and its implications in physics
  • Study the equations of motion for objects in free fall
  • Explore the differences in acceleration for various ramp angles
  • Investigate the effects of friction on final velocity in similar scenarios
USEFUL FOR

Students of physics, educators teaching kinematics, and anyone interested in optimizing motion paths in physical systems.

jennyerickson
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Every object has the same mass and shape etc.
Object a is dropped from the side of the ramp straight down
Object b slides down an angled ramp
Object c slides down a ramp that is curved


Facts
No friction
All objects sliding
All initial velocities are equal
All Intial positions are the same height

Which object has the greatest final velocity?
Which has the smallest time interval until hitting ground level?
Which has the greatest acceleration?
 
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welcome to pf!

hi jenny! welcome to pf! :wink:

tell us what you think (with reasons), and then we'll comment :smile:
 


Look up Brachistochrone
 

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