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SUMMARY

The discussion focuses on solving a physics homework problem related to centripetal acceleration and projectile motion. The formula for centripetal acceleration is essential for determining the tangential velocity of a ball exiting a tube. It is established that, assuming no air resistance, the horizontal velocity remains constant while the vertical velocity increases due to gravitational acceleration. By calculating the time the ball is airborne, one can determine the horizontal distance traveled.

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  • Centripetal acceleration formula
  • Understanding of projectile motion
  • Basic knowledge of kinematics
  • Concept of gravitational acceleration
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  • Study the formula for centripetal acceleration in detail
  • Learn about projectile motion equations
  • Explore kinematic equations for horizontal and vertical motion
  • Investigate the effects of air resistance on projectile motion
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Students studying physics, educators teaching kinematics, and anyone interested in understanding projectile motion and centripetal acceleration.

drh
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http://tinyurl.com/hjybb

thats a picture of the problem, anyone know how to solve it??
 
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Write the formula for centripetal acceleration.

From that, determine the tangential velocity, which when the ball leaves the tube, is horizontal, i.e. in +x-direction, so that gives vx.

Assuming no air resistance, what can one assume about the horizontal velocity?

Now as soon as the ball leaves the tube, it starts to fall, so there is a downward vy which increases downward with acceleration of gravity. From this one can determine the time that the ball air airborne.

Know vx and t in air, one can determine the distance traveled.
 

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