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Q. No.The displacement of a particle is represented by the equation \(s=\left(3 t^{3}+7 t^{2}+5 t+8\right)\) where \(s\) is in metre and \(t\) in seconds. The acceleration of the particle at \(t=1\) second is:
| 1. | zero | 2. | \(14~\text{m/s}^2\) |
| 3. | \(18~\text{m/s}^2\) | 4. | \(32~\text{m/s}^2\) |
Subtopic: Acceleration |
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Level 1: 80%+
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The acceleration \(a\) of a particle starting from rest varies with time according to relation \(a = αt + β .\) The velocity of the particle after a time \(t\) will be:
1. \(\dfrac{αt^{2}}{2} + \beta \)
2. \(\dfrac{αt^{2}}{2} + βt\)
3. \(αt^{2} + \dfrac{1}{2} βt\)
4. \(\dfrac{\left(αt^{2} + \beta\right)}{2}\)
Subtopic: Acceleration |
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Level 1: 80%+
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A ball is thrown vertically upward with an initial speed of \(20~\text{m/s}.\) The magnitude of average acceleration of the ball, during its motion between the ground and a height of \(15~\text{m},\) is: \((\text{take }g=10~\text{m/s}^2)\)
| 1. | \(5~\text{m/s}^2\) | 2. | \(10~\text{m/s}^2\) |
| 3. | \(7.5~\text{m/s}^2\) | 4. | either \(5~\text{m/s}^2\) or \(7.5~\text{m/s}^2\) |
Subtopic: Acceleration |
76%
Level 2: 60%+
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Q. No.
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