First slide
Instantaneous velocity
Question

The displacement x of a particle varies with time as
x=aeαt+beβt
where e, b, o and F are positive constants.
The velocity of the particle will

Moderate
Solution

Given that x=aeαt+beβt
V=dxdt=aαeαt+bβeβt=eαt+bβeβt
So, v will go on increasing with time.

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