- #1
devanlevin
a small body, with the mass of M is dropped from an infinite height falling freefall, the air's friction on the body is defined by ==>f=-kv^2, k=const.
find the velocity after an infinite amount of time.
using Newtons 2nd law,
F=ma=mg-kv^2
a=g-(kv^2)/m
now, how do i find the velocity, i thought of integratning the acceleration, but i have a dependence on v in the acceleration..
aat first i thought it was meant to be a=g-(kt^2)/m
the answer is
v(t=>inf)---->sqrt(mg/k)
do i need to work with limits to reach this?? what must i do?
find the velocity after an infinite amount of time.
using Newtons 2nd law,
F=ma=mg-kv^2
a=g-(kv^2)/m
now, how do i find the velocity, i thought of integratning the acceleration, but i have a dependence on v in the acceleration..
aat first i thought it was meant to be a=g-(kt^2)/m
the answer is
v(t=>inf)---->sqrt(mg/k)
do i need to work with limits to reach this?? what must i do?