How Far Apart Will the Teddy Bears Land on the Ground?

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SUMMARY

The discussion centers on calculating the landing distances of three teddy bears dropped from a Ferris wheel with a diameter of 14.0 m and a rim speed of 1.0 m/s. The boys are positioned 45° apart, with one dropping his bear while ascending and another while descending. By applying kinematic equations to determine the initial velocity vectors and trajectories of the bears, participants can calculate the distances between the landing points of the bears. The key to solving the problem lies in understanding the initial velocities and the timing of the drops.

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  • Kinematic equations for projectile motion
  • Understanding of initial velocity vectors
  • Basic trigonometry for angle calculations
  • Concept of relative motion in physics
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  • Learn how to calculate initial velocity vectors based on position and speed
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This discussion is beneficial for physics students, educators, and anyone interested in understanding projectile motion and kinematics in real-world scenarios.

perfectlovehe
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At a county fair, a boy and two friends bring their teddy bears on the giant Ferris wheel. The wheel has a diameter of 14.0 m, the bottom of the wheel is 1.9 m above the ground and its rim is moving at a speed of 1.0 m/s. The boys are seated in positions 45° from each other. When the wheel brings the second boy to the maximum height, they all drop their stuffed animals. How far apart will the three teddy bears land? (Assume that the boy on his way down drops bear 1, and the boy on his way up drops bear 3.)
distance between bears 1 and 2:
distance between bears 2 and 3:
 
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Please use the correct formatting and show your attempt at this question as per PF guidelines.

Jared
 
You know the speed that the boys are moving (and thus the initial velocity of the bears) as well as their relative positions (which will give you the initial velocity vectors). You should be able to use the kinematic equations to solve for the trajectories of the bears once released and thus find how far apart they land.

What are the velocities of each of the boys and the moment they drop the bears?
What equations can you use to find the distance traveled?
 
Still going to need that attempt before I can help you.

Jared
 

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