Question

Retardation = av

If particle started from origin with
speed Vo find velocity and
displacement.
​

Answer 1

ANSWER

dt

dv

=−αv

v

dv

=−αdt

Integrating both sides, we get

ln(

v

o

v

)=−αt

v=v

o

e

−αt

Thus, the particle will continue to move for a very long time.

To calculate the distance traveled by the particle write the differential equation as

v

ds

dv

=−αv

∫

v

o

0

dv=−α∫

0

s

ds

Also total distance traveled will area under curve which is equal to =

α

v

0

Answer 2

Answer:

a

v

o

I will tell that answer tomorrow wait till tomorrow