Suppose that an object is attached to a coiled spring. It is pulled down a distance of 8 cm from is equilibrium position and then released.
Therefore, a=8 cm.
It takes 1/3 second to complete one oscillation.
Therefore, t=1/3
we know that,
So, we have
first we need to find w :
The formula to find w is,
Therefore, the equation (1) becomes,
Next to find the position of the object after 1/2 second.
substituting t=1/2 in the above equation we get,
Hence, the position of the object after 1/2 second is 8 cm.