Sorry about the title lol, but here goes..
This question is in new senior mathematics, fitzpatrick 4U (page 165, q6), i just don't seem to get any of these resisted motion q's.
"A particle falls from rest in a medium. If the retardation due to resistance in the medium varies as the square of the velocity, find the distance fallen as a function of the velocity. What is the terminal velocity? Find the distance fallen when half the terminal velocity is reached."
I think it's something wrong with my equation? I've got mg - kv² = mv(dv/dx)
Cheers.
This question is in new senior mathematics, fitzpatrick 4U (page 165, q6), i just don't seem to get any of these resisted motion q's.
"A particle falls from rest in a medium. If the retardation due to resistance in the medium varies as the square of the velocity, find the distance fallen as a function of the velocity. What is the terminal velocity? Find the distance fallen when half the terminal velocity is reached."
I think it's something wrong with my equation? I've got mg - kv² = mv(dv/dx)
Cheers.