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 |
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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
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
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For the one-dimensional motion, described by \(x=t-\sin t\)
(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 |
From NCERT
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