The acceleration due to air resistanceacceleration due to air resistance of a particle movingof a particle moving along a straight linealong a straight line at time t is proportional to the secondsecond power of its velocity vvelocity v. the differentialâ equation, with proportionality constantâ k,

Step-by-step explanation:

According to the data provided, the acceleration can be modeled by the following equation:

Where a(t) is the acceleration as a function of time, and v(t) is the velocity ad a function of time.

Applying the chain rule, the differential equation, with proportionality constant k, is: