Write a differential equation that fits the physical description. The at time t is proportional to the power of its .

Complete Question

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The differential equation that fits the physical description is  

Step-by-step explanation:

 From the question we are told that

       The acceleration due to air resistance of a particle moving along a straight line at time t is proportional to the second power of its velocity v, this can be mathematically represented as

Where   is the acceleration at time t

and     is the velocity at time  t

So  

=>        

Where  z is a constant

Generally acceleration is mathematically represented as

So