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 __.

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

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!