Question

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 __.

Answer 1

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