A person drops a ball of 100g at rest from a height of 1000m. He observes that there is air resistance (in newtons) acting on the body and it is proportional to the velocity v (in meters per second). He also notes that the limiting velocity is 245 meters per second. a) What is the velocity and distance after t seconds? b) What is the time t at which the velocity will be one-fifth of the limiting velocity?

University Physics Volume 3
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ISBN:9781938168185
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Chapter7: Quantum Mechanics
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Problem 40P: Show that (x,t)=Aei(kwt) is a valid solution to Schrödinger's time-dependent equation.
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A person drops a ball of 100g at rest from a height of 1000m. He observes that there is air resistance (in newtons) acting on the body and it is proportional to the velocity v (in meters per second). He also notes that the limiting velocity is 245 meters per second.

a) What is the velocity and distance after t seconds?
b) What is the time t at which the velocity will be one-fifth of the limiting
velocity?

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