For a particle, displacement time relation is given by; . Its displacement, when its velocity is zero will be:
1. \(2\) m
2. \(4\) m
3. \(0\) m
4. none of the above
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. | \(\alpha\) and \(\beta.\) | be independent of
2. | go on increasing with time. |
3. | \(\alpha=\beta.\) | drop to zero when
4. | go on decreasing with time. |