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pishuonlain [190]
2 years ago
12

Write a differential equation that fits the physical description. The acceleration due to air resistance acceleration due to air

resistance of a particle moving of a particle moving along a straight line along a straight line at time t is proportional to the secondsecond power of its velocity v.The differential equation, with proportionality constant k, is __.
Mathematics
1 answer:
Vitek1552 [10]2 years ago
5 0

Answer:

d/dt(dx/dt)=K(dx/dt)^2

Step-by-step explanation:

Since, a is proportional to v^2; and a=d/dt(dx/dt) and v= dx/dt since they are instantanious acceleration and velocity respectively.

K=(d^x/dt^2)(dt/dx)^2

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\red{ \boxed{ \boxed{ \text{Our \: final \: answer :  \boxed{ \underline{  \tt{2x + 3}}}}}}}

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