The Velocity in terms of time and drag K

[solveint]

A body falls into viscous liquid which causes the velocity to decrease at the rate proportional to the velocity.
v=velocity(m/s)
t=time(s)
k= constant of proportionality
The initial velocity of the body=30m/s
k=0.3m/s^2
t=0.25s
Solve for v in terms of t and k



First step possible: a=-kt then first order of integration t1=0;t2=0.25s

int a dt ?

But where is g (means g-kt)??

 

[supratim1]

see that rate is proportional to velocity, not time.

so a = -kv