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Assume that a tunnel is dug across the earthradius r

Assume that a tunnel is dug across the earth(radius R) passing through its center. Find the time a particle takes to cover the length of the tunnel if

a) it is projected into the tunnel with a velocity (gR)^1/2

b) it is released from a height R above the tunnel

c) it is thrown vertically upward along the length of the tunnel with a speed (gR)^1/2

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Physics: Assume that a tunnel is dug across the earthradius r

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