Practice Questions
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. decrease with time
2. be independent of \(\alpha\) and \(\beta\)
3. drop to zero when \(\alpha=\beta\)
4. increase with time