Derive a formula for simple harmonic motion!!!!!!!?

It would take 42 minutes to travel anywhere around the world, if we where to dig a frictionless underground tunnel and use earth's gravitational field to travel. Show that the period which is T = 2(PIE) [square root of m/k] is proportional to the distance at equilibrium Max speed would occur in the middle of... show more It would take 42 minutes to travel anywhere around the world, if we where to dig a frictionless underground tunnel and use earth's gravitational field to travel. Show that the period which is T = 2(PIE) [square root of m/k] is proportional to the distance at equilibrium
Max speed would occur in the middle of the distance travelled.
T= period
m= mass
k= spring constant
Take the half of T when answer is found.
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