Question 14.4: The functions f and g are given by f : x = a sin (ωt + ε) ...
The functions f and g are given by
f : x = a sin (ωt + ε) and g : x = a cos (ωt + ε)
where ε (epsilon) is a positive constant.
For each of these functions:
i) Differentiate it with respect to time to find v (or \dot{x}) and show that v² = a²(ω² – x²).
ii) Differentiate v with respect to time to find \ddot{x} and show that \ddot{x} = – ω²x .
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