Solving SHM: Find Amplitude, Velocity & Time

ZackGardner
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A body with SHM has a velocity of 1.3 m/s at a distance of 1.0m from the mean position, and a velocity of 1.0 m/s at a distance of 1.3m from the mean position. Find:

a) The amplitude of the motion.
b) The velocity of the mid-position.
c) The time elapsed between the instants when the body is moving at 1.0 m/s and when it is moving at 1.3 m/s.

Can anyone help me, I have been looking on the internet for formulas but I keep getting websites with different ones & don't know which ones to use. Do I need to draw a graph to answer any part of the question too cheers :)
 
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Hints: Start with the equation for position as a function of time:
x = A sin(ωt)

How would you write the speed as a function of time?
 
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Likes Anthony Smith steve
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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