Physics
posted by Todd .
Fairgoers ride a Ferris wheel with a radius of 5.00 {\rm m} . The wheel completes one revolution every 31.5 s
What is the average speed of a rider on this Ferris wheel?
If a rider accidentally drops a stuffed animal at the top of the wheel, where does it land relative to the base of the ride? (Note: The bottom of the wheel is 1.75 {\rm m} above the ground.)

The angular speed is
w = (2 pi radians)/31.5 s = 0.2 rad/s
The speed of a rider remains V = R*w at all times
I cannot interpret your {\rm symbol.
If a stuffed animal is droppped at the top of the whhel, it starts with a horizonal velocity V = R*w.
Proceed in the usual way (Newton's laws) to get the time to fall and the place where it lands after that
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