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Problem

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20 Dec 2021

Given information

Given The equation of motion of a particle is
  where  is in meters and  is in seconds.

Step-by-step explanation

Step 1.
  - the equation of motion of a particle,   is in meters, and  is in seconds.
 
We need to find the velocity and acceleration as functions of  .
 
The velocity is the first derivative of position, and the acceleration is first derivative of velocity.
 
Therefore, applying The Power Rule   and The Constant Multiple Rule, we obtain:
 
 
Hence, the velocity is
 
 
 
and the acceleration is
 

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