A particle moves along the 
-axis and has its displacement 
varying with time 
according to the equation:
where 
and c are constants of appropriate dimensions.
Then, which of the following statements is correct?
Text Solution
Verified by ExpertsA
To determine the acceleration of the particle, we start by differentiating the displacement function with respect to time 
.
The displacement of the particle is given by:
First, compute the velocity 
by differentiating 
with respect to 
:
This gives:
Next, determine the acceleration 
by differentiating the velocity function with respect to time 
:
Calculating this gives:
Hence, the acceleration of the particle is 
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