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In one dimensional motion, instantaneous speed \(v\) satisfies \(0 \leq v<v_o \text {. }\)
| 1. | The displacement in time T must always take non-negative values. |
| 2. | The displacement x in time T satisfies \(-v_0 \mathrm{~T}<x<v_0 \mathrm{~T} .\) |
| 3. | The acceleration is always a non-negative number. |
| 4. | The motion has no turning points. |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
60%
Level 2: 60%+
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The displacement of a particle is given by \(x=(t-2)^2\) where x is in metres and t in seconds. The distance covered by the particle in first 4 seconds is
1. 4 m
2. 8 m
3. 12 m
4. 16 m
1. 4 m
2. 8 m
3. 12 m
4. 16 m
Subtopic: Instantaneous Speed & Instantaneous Velocity |
59%
Level 3: 35%-60%
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For the one-dimensional motion, described by \(x=t-\sin t\)
Choose the correct option:
| (a) | \(x(t)>0\) for all \(t>0\) |
| (b) | \(v(t)>0\) for all \(t>0\). |
| (c) | \(a(t)>0\) for all \(t>0\). |
| (d) | \(v(t)>0\) lies between \(0\) and \(2\). |
Choose the correct option:
| 1. | (b), (c) |
| 2. | (a), (b), (d) |
| 3. | (a), (d) |
| 4. | (b), (d) |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
Level 3: 35%-60%
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