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Byju's Answer
Standard IX
Physics
Speed vs. Velocity
The velocity ...
Question
The velocity of water in a river is 2kmph, while width is 400m. A boat is rowed from a point rowing always aiming opposite point at 8kmph of still water velocity. On reaching the opposite bank the drift obtained is
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Solution
Speed
of
river
=
v
r
=
2
Km
/
h
=
2
×
5
/
18
=
5
/
9
m
/
s
.
and
speed
of
8
Km
/
h
=
8
×
5
/
18
=
20
9
m
/
s
.
as
these
two
velocities
are
perpendicular
to
each
other
so
their
relative
velocity
v
=
25
81
+
400
81
=
425
9
=
2
.
29
m
/
s
.
let
time
taken
to
cross
the
river
be
t
then
,
400
t
=
425
9
.
or
t
=
400
×
9
425
=
3600
425
second
.
or
the
horizontal
drift
during
this
time
=
x
.
therefore
x
=
v
r
×
t
=
5
9
×
3600
425
=
2000
/
20
.
61
=
97
.
04
m
.
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