Rolling ball Free fall question

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SUMMARY

The discussion centers on the physics of projectile motion, specifically analyzing the time it takes for a ball to hit the ground after rolling off a table. A ball moving at a constant speed of 1.0 m/s takes 0.50 seconds to hit the floor. When the same ball is rolled off the table at a speed of 2.0 m/s, it also takes 0.50 seconds to reach the ground. This conclusion is based on the principle that the horizontal and vertical motions of the ball are independent of each other, and the time to fall is determined solely by the vertical distance and gravitational acceleration.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of gravitational acceleration (9.81 m/s²)
  • Familiarity with the concept of independence of motion in physics
  • Basic algebra for calculating time and distance
NEXT STEPS
  • Study the equations of motion for projectiles in physics
  • Learn about the effects of air resistance on projectile motion
  • Explore the concept of horizontal and vertical components of motion
  • Investigate real-world applications of projectile motion in sports and engineering
USEFUL FOR

Students studying physics, educators teaching projectile motion concepts, and anyone interested in understanding the dynamics of motion in a gravitational field.

DrDanger
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Homework Statement


A ball moving with constant speed 1.0 m/s on a horizontal table rolls off the edge of the table. The ball hits the floor 0.50 seconds after leaving the edge. Suppose you roll the same ball on the same table with constant speed 2.0 m/s. After leaving the edge of the table, how long does it for this faster ball to hit the floor? Neglect air friction.


Homework Equations





The Attempt at a Solution


It would take the second ball .5 seconds just like the first ball because the x and y motions are independent of each other, right?
 
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DrDanger said:

Homework Statement


A ball moving with constant speed 1.0 m/s on a horizontal table rolls off the edge of the table. The ball hits the floor 0.50 seconds after leaving the edge. Suppose you roll the same ball on the same table with constant speed 2.0 m/s. After leaving the edge of the table, how long does it for this faster ball to hit the floor? Neglect air friction.


Homework Equations





The Attempt at a Solution


It would take the second ball .5 seconds just like the first ball because the x and y motions are independent of each other, right?

Correct.
 

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