Consider a frictionless roller coaster such as depicted below. The acceleration

Question

Consider a frictionless roller coaster such as
depicted below.
The acceleration of gravity is 9.8 m/s2 .
Passenger cars start at point A with zero
initial speed, accelerate as they go down to
point B, swing around the circular vertical
loop B -> C -> B of radius 18 m, then go
on towards further adventures .
When a car goes through the top of the loop
, the passengers feel weightless (for
just a moment).
What is the height hA of the starting
point A above the loop’s bottom B?
Answer in units of m.

Explanation / Answer

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