A) a straight line
B) a parabola
C) a hyperbola
D) an ellipse
Correct Answer: D
Solution :
Displacement \[y=a\sin \omega t\] Velocity \[v=\omega \sqrt{{{a}^{2}}-{{y}^{2}}}\] Or \[{{v}^{2}}={{\omega }^{2}}({{a}^{2}}-{{y}^{2}})\] Or \[\frac{{{v}^{2}}}{{{\omega }^{2}}}={{a}^{2}}-{{y}^{2}}\] \[\frac{{{v}^{2}}}{{{\omega }^{2}}{{a}^{2}}}+\frac{{{y}^{2}}}{{{a}^{2}}}=1\]This is the equation of ellipse.
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