Simple Harmonic Motion - position

AI Thread Summary
The discussion focuses on a physics problem involving simple harmonic motion of a ball attached to a spring. The ball has a mass of 100 g and a spring constant of 2.9, with a velocity of 20 cm/s at a position of 4.8 cm. The maximum acceleration calculated is 180 cm/s². The participants are trying to determine the time at which the ball's acceleration reaches its maximum. The conversation revolves around applying the equations of motion to find the position corresponding to this maximum acceleration.
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Homework Statement



A 100 g ball attached to a spring with spring constant 2.9 oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x = 4.8 cm.

What is the ball's maximum acceleration?
which I found to be amax= 180 cm/s^2

What is the ball's position when the acceleration is maximum?

Homework Equations



x(t)= Acos(ωt)
x(t)= Acos(2pift)

The Attempt at a Solution


 
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Well at what time t is the acceleration maximum?
 

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