A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2v\). Its average speed is:
1. \(\frac{3v}{4}\)
2. \(\frac{v}{3}\)
3. \(\frac{2v}{3}\)
4. \(\frac{4v}{3}\)
Subtopic:  Average Speed & Average Velocity |
 65%
From NCERT
NEET - 2023
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A person travelling in a straight line moves with a constant velocity \(v_1\) for a certain distance \(x\) and with a constant velocity \(v_2\) for the next equal distance. The average velocity \(v\) is given by the relation:

1. \(\frac{1}{v} = \frac{1}{v_1}+\frac{1}{v_2}\) 2. \(\frac{2}{v} = \frac{1}{v_1}+\frac{1}{v_2}\)
3. \(\frac{v}{2} = \frac{v_1+v_2}{2}\) 4. \(v = \sqrt{v_1v_2}\)

Subtopic:  Average Speed & Average Velocity |
 77%
From NCERT
NEET - 2019
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A particle is moving such that its position coordinates (x, y) are (\(2\) m, \(3\) m) at time \(t=0,\) (\(6\) m,\(7\) m) at time \(t=2\) s, and (\(13\) m, \(14\) m) at time \(t=\) \(5\) s. The average velocity vector \(\vec{v}_{avg}\) from \(t=\) 0 to \(t=\) \(5\) s is:
1. \({1 \over 5} (13 \hat{i} + 14 \hat{j})\)
2. \({7 \over 3} (\hat{i} + \hat{j})\)
3. \(2 (\hat{i} + \hat{j})\)
4. \({11 \over 5} (\hat{i} + \hat{j})\)

Subtopic:  Average Speed & Average Velocity |
 76%
From NCERT
AIPMT - 2014
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A particle covers half of its total distance with speed ν1 and the rest half distance with speed ν2.
Its average speed during the complete journey is:

1. v1+v22

2. v1v2v1+v2

3. 2v1v2v1+v2

4. v12v22v12+v22

Subtopic:  Average Speed & Average Velocity |
 89%
From NCERT
AIPMT - 2011
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A car moves from \(X\) to \(Y\) with a uniform speed \(v_u\) and returns to \(X\) with a uniform speed \(v_d.\) The average speed for this round trip is:
1. \(\frac{2 v_{d} v_{u}}{v_{d} + v_{u}}\)
2. \(\sqrt{v_{u} v_{d}}\)
3. \(\frac{v_{d} v_{u}}{v_{d} + v_{u}}\)
4. \(\frac{v_{u} + v_{d}}{2}\)

Subtopic:  Average Speed & Average Velocity |
 82%
From NCERT
AIPMT - 2007
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A particle starts from rest with constant acceleration. The ratio of space-average velocity to the time-average velocity is:
where time-average velocity and space-average velocity, respectively, are defined as follows: 

<v>time = vdtdt
<v>space = vdsds

1. \(\frac{1}{2}\) 2. \(\frac{3}{4}\)
3. \(\frac{4}{3}\) 4. \(\frac{3}{2}\)
Subtopic:  Average Speed & Average Velocity |
From NCERT
AIPMT - 1999
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