A point-like object of mass m starts from point K with vertical initial speed v₀, slides along the full length of a smooth circular track of radius R in a vertical plane, then leaves the track and travels freely to point C as shown.
Physics · Work , Power and Energy · vertical circular motion
A point-like object of mass m starts from point K with vertical initial speed v₀, slides along the full length of a smooth circular track of radius R in a vertical plane, then leaves the track and travels freely to point C as shown.

Sub-question 1
For the smooth track/projectile system shown, determine the vertical initial speed v₀ at K.
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Sub-question 2
For the same system, the minimum possible horizontal distance d=OC required for the object to traverse the entire track is:
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Sub-question 3
For the same system, the normal force at point A is:
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