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Q. No.A body is falling freely in a resistive medium. The motion of the body is described by \(\dfrac{dv}{dt}=(4-2v),\) where \(v\) is the velocity of body at any instant (in ms–1). The initial acceleration and terminal velocity of the body, respectively, are:
1. \(4\) ms–2, \(2\) ms–1
2. \(2\) ms–2, \(4\) ms–1
3. \(6\) ms–2, \(2\) ms–1
4. \(2\) ms–2, \(6\) ms–1
1. \(4\) ms–2, \(2\) ms–1
2. \(2\) ms–2, \(4\) ms–1
3. \(6\) ms–2, \(2\) ms–1
4. \(2\) ms–2, \(6\) ms–1
Subtopic: Speed & Velocity |
60%
From NCERT
NEET - 2024
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The position of a particle is given by;
\(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k\)
where \(t\) is in seconds and \(r\) in metre. Find the magnitude and direction of velocity \(v(t)\), at \(t=1~\mathrm{s}\), with respect to \(x\)-axis:
\(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k\)
where \(t\) is in seconds and \(r\) in metre. Find the magnitude and direction of velocity \(v(t)\), at \(t=1~\mathrm{s}\), with respect to \(x\)-axis:
| 1. | \(4\sqrt2~\text{ms}^{-1},45^\circ\) | 2. | \(4\sqrt2~\text{ms}^{-1},60^\circ\) |
| 3. | \(3\sqrt2~\text{ms}^{-1},30^\circ\) | 4. | \(3\sqrt2~\text{ms}^{-1},45^\circ\) |
Subtopic: Speed & Velocity |
77%
From NCERT
NEET - 2023
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A car turns at a constant speed on a circular track of radius \(100\) m, taking \(62.8\) s for every circular lap. The average velocity and average speed for each circular lap, respectively, is:
| 1. | \(0,~0\) | 2. | \(0,~10\) m/s |
| 3. | \(10\) m/s, \(10\) m/s | 4. | \(10\) m/s, \(0\) |
Subtopic: Speed & Velocity |
82%
From NCERT
AIPMT - 2006
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NEET 2025 - Target Batch
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