A boby excuting SHM has its velocity its `10 cm//see and7 cm//see` when its displacement from themean positionare `3 cm` and `4 cm` , respectively. Calculate the length of the path.

Explanation

We have `V = omega sqrt(a^(2) - y^(2))`
`:. (V_(2))/(V_(1)) = (sqrt(a^(2) - y_(2)^(2)))/(sqrt(a^(2) - y_(1)^(2))) or (49)/(100) = (a^(2) - 16)/(a^(2) - 9)`
`:. a = 4.76 cm`
Length of the path `= 2 a = 9.5 cm`