Question
Question: The displacement of a particle varies with time as x = ae<sup>-αt</sup> + be<sup>βt</sup> where a, α...
The displacement of a particle varies with time as x = ae-αt + beβt where a, α, b β are positive constants. The velocity of the particle
A
Will be independent of α and β
B
Drop to zero when α = β
C
Go on decreasing with time
D
Go on increasing with time.
Answer
Go on increasing with time.
Explanation
Solution
dx/dt = - aαe-αt + bβeβt as t increases - aα/eαt decreases and bβeβt increases.