The drag force for falling objects due to air friction depends on the velocity of the object and is given by the equation drag = b where b is a constant that depends on the fluid through which the object moves and the radius of the object.
(a)find the terminal speed of an object of mass 59.0 kg for which b = 11.0 kg/s.
(b) will the terminal speed be different if the object's initial speed is different?

a. Terminal speed for this object is 52.62 m/s, approximately.

b. No, the terminal velocity WILL NOT change if the object's initial speed changes.

Explanation:

a. The object will reach terminal velocity when the drag force equals the weight, i.e.

b. The terminal velocity will remain. If the object is dropped from rest the velocity will increase until the drag force equals the weight, as seen previously; if the object is thrown with a velocity greater than the terminal one, it will slow down until it reaches this last one, since the drag is way too big.

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