Other models of drag due to air resistance: When some objects move at high speeds, air resistance has a more pronounced effect. For such objects, retardation due to air resistance is often modeled as being proportional to the square of velocity or to even higher powers of velocity.
a. Arifle bullet fired downward has an initial velocity of 2100 feet per second. If we use the model that gives air resistance as the square of velocity, then the equation of change for the downward velocity V , in feet per second, of a rifle bullet is
If the terminal velocity for a bullet is 1600 feet per second, find the drag coefficient r.
b. A meteor may enter the Earth’s atmosphere at a velocity as high as 90,000 feet per second. If the downward velocity V , in feet per second, of a meteor in the Earth’s atmosphere is governed by the equation of change
how fast will it be traveling when it strikes the ground, assuming that it has reached terminal velocity?
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