Question

The position x of a particle moving along x axis varies with time as x =Asin (wt) where A and w are positive constants the acceleration a of particle varies with its position as

Answer 1

x= ASIN(WT)

D(X)/DT=A.W.(COS(WT))=VELOCITY

ACCELERATION= D^2(X)/D^T=-A^2W^2SINWT

=-A^2W^2(X)=ACCELERATION IS EXPRESSED AS LIKE THIS