If a body travels some distance in a given time interval, then for that time interval, its:

1. Average speed  ≥  |Average velocity|
2. |Average velocity|  ≥  Average speed
3. Average speed < |Average velocity|
4. |Average velocity| must be equal to average speed. 

Subtopic:  Average Speed & Average Velocity |
 83%
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A body starts falling from height 'h' and if it travels a distance of h/2 during the last second of motion, then the time of flight is (in seconds):

1. 2 - 1

2. 2 + 2 

3. 2  + 3

4. 3  + 2

Subtopic:  Uniformly Accelerated Motion |
From NCERT
AIPMT - 1999
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For a particle, displacement time relation is given by t = x + 3 . Its displacement, when its velocity is zero will be:
1. \(2\) m
2. \(4\) m
3. \(0\)
4. none of the above

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 81%
From NCERT
AIPMT - 1999
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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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If a ball is thrown vertically upwards with speed u, the distance covered during the last ‘t’ seconds of its ascent is:

1. ut

2. 12gt2

3. ut-12gt2

4. (u+gt)t

Subtopic:  Uniformly Accelerated Motion |
 65%
From NCERT
AIPMT - 2003
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A man throws some balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given g = 9.8 m/s2)

1. More than 19.6 m/s

2. At least 9.8 m/s

3. Any speed less than 19.6 m/s

4. Only with a speed of 19.6 m/s

Subtopic:  Uniformly Accelerated Motion |
 66%
From NCERT
AIPMT - 2003
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A car is moving along a straight line, say OP in the figure. It moves from O to P in \(18\) s and returns from P to Q in \(6.0\) s. The average velocity and average speed of the car in going from O to P and back to Q respectively are:

   

1. \(10\) m/s & \(10\) m/s

2. \(20\) m/s & \(30\) m/s 

3. \(20\) m/s & \(20\) m/s

4. \(10\) m/s & \(20\) m/s

Subtopic:  Average Speed & Average Velocity |
 70%
From NCERT
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The position of an object moving along \(\mathrm{x}\)-axis is given by \(x=a+bt^2\), where \(a=8.5\) m, \(b=2.5\) ms-2 and \(t\) is measured in seconds. Its average velocity between \(t=2.0\) s and \(t=4.0\) s is:
1. \(10\) m/s
2. \(15\) m/s
3. \(20\) m/s
4. \(25\) m/s

Subtopic:  Average Speed & Average Velocity |
 64%
From NCERT
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The position of an object moving along the x-axis is given by, \(x=a+bt^2\)  where \(a=8.5\) m,
\(b=2.5\) ms-2
and \(t\) is measured in seconds. Its velocity at \(t=2.0\) s will be:
1. \(13\) m/s
2. \(17\) m/s
3. \(10\) m/s
4. \(0\) 

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 86%
From NCERT
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The displacement \(x\) of a particle varies with time \(t\) as \(x = ae^{-\alpha t}+ be^{\beta t}\)
, where \(a,\) \(b,\) \(\alpha,\) and \(\beta\) are positive constants. The velocity of the particle will:

1. be independent of \(\alpha\) and \(\beta.\)
2. go on increasing with time.
3. drop to zero when \(\alpha=\beta.\)
4. go on decreasing with time.
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 52%
From NCERT
AIPMT - 2005
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