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Q. No.A point mass is moving with a velocity \(v\) in the positive \({x\text-}\)direction. The velocity \(v\) (in m/s) is described by the equation \(v=5t+10t^2,\) where \(t\) is in seconds. The acceleration of the point mass at \(t=2\) s is:
| 1. | zero | 2. | \(10~\text{m/s}^2\) |
| 3. | \(12~\text{m/s}^2\) | 4. | \(45~\text{m/s}^2\) |
Subtopic: Â Non Uniform Acceleration |
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Level 1: 80%+
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Two cars are travelling towards each other at speed of \(20\text{ m/s}\) each. When the cars are \(300\text{ m}\) apart, both the drivers apply brakes and the cars retard at the rate of \(2\text{ m/s}^2.\) The distance between them when they come to rest is :
1. \(200\text{ m}\)
2. \(50\text{ m}\)
3. \(100\text{ m}\)
4. \(25\text{ m}\)
1. \(200\text{ m}\)
2. \(50\text{ m}\)
3. \(100\text{ m}\)
4. \(25\text{ m}\)
Subtopic: Â Non Uniform Acceleration |
 79%
Level 2: 60%+
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The position of a particle with respect to time \(t\) along the \({x}\)-axis is given by \(x=9t^{2}-t^{3}\) where \(x\) is in metres and \(t\) in seconds. What will be the position of this particle when it achieves maximum speed along the \(+{x} \text-\text{direction}?\)
1. \(32~\text m\)
2. \(54~\text m\)
3. \(81~\text m\)
4. \(24~\text m\)
Subtopic: Â Non Uniform Acceleration |
 78%
Level 2: 60%+
AIPMT - 2007
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