Given the velocity y = Integral
(dt/t).
To find the distance
function.
Le s(t) be the distance travelled in time
t.
Then velocity = ds/dt = Int
(1/t)
Therefore ds = Int (dt/t
)
We integrate both sides to get the distance function s(t)
:
Therefore s(t) = logt
+C.
Therefore the distance function s(t) travelled in time
t is given by:
s(t) = logt +C, where C is the constant of
integration which could be determined by the initial conditions.
No comments:
Post a Comment