For an object with mass m falling in air, we assume that the air resistance is proportional to the speed v (t): mv` (t) = mg - kv (t), where g is the acceleration of gravity and k is a positive constant that depends on the object's geometry. What is v (t) given that v (0) = 0? Given two otherwise similar objects with different masses: which one falls fastest? *note : you hvave to use (differential equations).
For an object with mass m falling in air, we assume that the air resistance is proportional to the speed v (t): mv` (t) = mg - kv (t), where g is the acceleration of gravity and k is a positive constant that depends on the object's geometry. What is v (t) given that v (0) = 0? Given two otherwise similar objects with different masses: which one falls fastest? *note : you hvave to use (differential equations).
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For an object with mass m falling in air, we assume that the air resistance is proportional to the speed v (t):
mv` (t) = mg - kv (t),
where g is the acceleration of gravity and k is a positive constant that depends on the object's
geometry.
What is v (t) given that v (0) = 0? Given two otherwise similar objects with different masses:
which one falls fastest?
*note : you hvave to use (differential equations).
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