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Oscillations

# How many minimum observations of the velocity (at various time instants) are required to be made to quantify a simple harmonic motion (to form the exact equation describing the displacement as a function of time):

$\begin{array}{1 1}(a)\;1 \\(b)\;3 \\( c)\;2 \\(d)\; 6 \end{array}$

3 measurement, are needed for solving for $A,w\; \&\; \phi$ which are the unknowns.
Hence b is the correct answer.