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**A girl walks along a straight path to drop a letter in the letterbox and comes back to her initial position. Her displacement–time graph is shown in Fig.8.4. Plot a velocity-time graph for the same.**

Answer:

"hi kids welcome to lido india's best
live online learning platform
so let's see what's the today's question
is a girl walks along a straight path to
drop
a letter in the letterbox and comes back
to her initial position
her displacement time graph is shown
in the figure eight point four plot a
velocity time graph for the same so this
is the question
so what's the question is telling that a
girl is there and she
is traveling in a straight path to drop
a letter
and again she comes back to her initial
position that means from where she
started
she came back to the same position so
you can see
first the graph is increasing and then
it is decreasing
this is your displacement and here is
time so let's try to calculate the
velocity for the
increasing line right increasing graph
increasing means
that the velocity is getting greater but
what's the formula for the velocity so
if you are going to write the formula so
velocity is equals to your displacement
upon time
so for the very first increasing line
what's the displacement you can see
displacement is 100 and the time taken
as 50
so what you will write 50 sorry the
displacement
is basically 100 not 50. so
you will write the displacement value as
100 and time as you can see
from here to here it is 50 so you will
write 50 and you get the velocity as
2 meter per second for the very first
part so here you can see if we want to
plot a graph we have taken the velocity
and we have taken the time so as the
velocity is 2
so we have drawn the velocity 2 and the
time is 50. so this graph for the very
first half this graph will come like
this
for the velocity time and now what
happens the velocity starts
decreasing in this graph what happens
your displacement time graph is showing
a
decrement over here the graph is go
going down and then it is becoming
complete
0 so now let's try to solve this part
again your displacement will be 100
and from 50 to 100 the time is going to
be 50
again you will get 2 but this is getting
decreased
so ultimately it will come in the
negative cartesian plane
so what will happen again you will mark
minus 2
and again you will take the time as what
50
from 50 to 100 so if you are going to
plot
you will get this particular
velocity time graph and here you can see
it is minus 2
so you just took the minus 2 part and
for 50th it is the 50th second
and here you have drawn the 100 second
and you simply just
joined whole and ultimately you got this
graph as an answer
so kids this is it for today and if you
have any doubts please drop it in the
comment section below
and do subscribe to leader happy
learning
"

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