The two-dimensional motion of a particle, described by \(\overrightarrow{\mathbf{r}}=\begin{pmatrix}\hat{i}+2\hat{j}\end{pmatrix} A\cos\omega t\) is a/ an:
A. parabolic path
B. elliptical path
C. periodic motion
D. simple harmonic motion
Choose the correct answer from the options given below:
1. B, C, and D only 2. A, B, and C only
3. A, C, and D only 4. C and D only
Subtopic:  Types of Motion |
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Identify the function which represents a non-periodic motion?
1. \(e^{-\omega t}\) 2. \(\text{sin}\omega t\)
3. \(\text{sin}\omega t+\text{cos}\omega t\) 4. \(\text{sin}(\omega t+\pi/4)\)
Subtopic:  Types of Motion |
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From the given functions, identify the function which represents a periodic motion:
1. \(e^{\omega t}\) 2. \(\text{log}_e(\omega t)\)
3. \(\text{sin}\omega t+ \text{cos}\omega t\) 4. \(e^{-\omega t}\)
Subtopic:  Types of Motion |
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The circular motion of a particle with constant speed is:

1. Periodic and simple harmonic 2. Simple harmonic but not periodic
3. Neither periodic nor simple harmonic 4. Periodic but not simple harmonic
Subtopic:  Types of Motion |
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