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hi this is aramboy and welcome once again to my lecture series in differential equations in this episode i will discuss an application of differential equations in mechanics specifically we will study the motion of objects in a fluid that exerts some resistive forces on the object in the free fall problems that you have encountered so far in physics and even in calculus air resistance is neglected however the actual motion of a freely falling body is affected by air resistance and this is the reason why skydivers attain some desirable speed internet not in a terminal velocity before they land on the ground so to model the situation we will use newtons second law of motion to obtain first a differential equation after that we will find the solution that describes the velocity of the object at any given time and now knowing the velocity we can also find the total distance traveled by the object and in case of a skydiver knowing this information would allow us to determine the altitude
