The motion of a particle of mass \(m\) is given by \(x=0\) for \(t<0 ~\text s\), \(x(t)=A~\text {sin}~4\pi t\) for \(0<t<(1/4) \text s ~(A>0)\), and \(x=0\) for \(t>(1/4) ~\text s\). Then:
| (a) | The force at \(t=(1/8) ~\text s \) on the particle is \(-16 \pi^2\text{Am}\) |
| (b) | The particle is acted upon by an impulse of magnitude \(4 \pi^2 \text{Am}\) at \(t=0 ~\text s\) and \(t=(1/4) ~\text s\) |
| (c) | The particle is not acted upon by any force |
| (d) | The particle is not acted upon by a constant force |
| (e) | There is no impulse acting on the particle |
Which of the following statement/s is/are true?
| 1. | (a, c, d, e) | 2. | (a, c) |
| 3. | (b, c, d) | 4. | (a, b, d) |
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