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In a two-dimensional motion, instantaneous speed \(v_0\) is a positive constant. Then which of the following is necessarily true?

1. The average velocity is not zero at any time.
2. The average acceleration must always vanish.
3. The displacements in equal time intervals are equal.
4. Equal path lengths are traversed in equal intervals.
Subtopic:  Speed & Velocity |
 52%
Level 3: 35%-60%
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The following are four different relations about displacement, velocity and acceleration for the motion of a particle in general.

(a) \(v_{a v}=1 / 2\left[v\left(t_1\right)+v\left(t_2\right)\right]\)
(b) \(v_{{av}}={r}\left({t}_2\right)-{r}\left({t}_1\right) / {t}_2-{t}_1\)
(c) \(r=1 / 2\left[v\left(t_2\right)-v\left(t_1\right)\right]\left({t}_2-{t}_1\right)\)
(d) \({a}_{{av}}=v\left({t}_2\right)-v\left({t}_1\right) / {t}_2-{t}_1\)


The incorrect options is/are:

1. (a) and (d) only 2. (a) and (c) only
3. (b) and (c) only 4. (a) and (b) only
Subtopic:  Speed & Velocity |
 59%
Level 3: 35%-60%
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