Question

Shruthi moves along a circular track of radius 7 m starting from point A.Find the displacement and distance when she reaches the point
a)At B
b)At C
c)At D
d)At A again?
A
B
C
D
Reply Using Drawing

Answer 1

Displacement:

Answer 2

When shruthi reach B, displacement will be equal to x. By pythagorus theorem
\(\large \sf x=\sqrt{7^2+7^2}=\sqrt{2}\times7m\)

Answer 3

When shruthi reaches point C, then displacement=2.R=2*7=14m.
Again when she reaches D, displacement=y which is equal to x =\(\large \sf 7\sqrt{2}\)m

Answer 4

When shruthi reaches back to A, then displacement = 0 !

Answer 5

Distance:
At point A => \(\large \sf \frac{2\pi\times7}{4}=11m\)

Answer 6

Distance:
At point B => \(\large \sf \frac{2\pi\times7}{4}=11m\)

At point C => 2*7=14m

At point D => \(\sf \large \frac{3\times2\pi\times7}{4}=?\)

Back to point A => \(\large \sf 2\pi \times 7=44m\)

Answer 7

@Abhisar At point C both distance and displacement is 14 m ?

Answer 8

@aryandecoolest help here ..

Answer 9

no its not @aryandecoolest

Answer 10

its confusing

Answer 11

see if you are confused about point C then
since from A to C it covers semi circle, so distance covered at C will be =\[22/7 *r=22/7*7=22m\]
and displacement will be 7+7=14m

Answer 12

distance will be equal to the displacement and the speed equal to the velocity when the motion is along the straight line, and it remains so also the magnitude has to remain constant which means that it'll be travelling with uniform velocity. ...
Now since direction changes , so it's not possible for object in circle to have Distance=Displacement...

Answer 13

Yes, there will be a rectification
\(\color{blue}{\text{Originally Posted by}}\) @Abhisar
Distance:
At point B => \(\large \sf \frac{2\pi\times7}{4}=11m\)

At point C => pi*7=22m

At point D => \(\sf \large \frac{3\times2\pi\times7}{4}=?\)

Back to point A => \(\large \sf 2\pi \times 7=44m\)
\(\color{blue}{\text{End of Quote}}\)

Answer 14

is it clear now ?

Answer 15

how 7 +7 ?

Answer 16

@Abhisar and @aryandecoolest how 7+7 ?

Answer 17

You mean how displacement is 14 at c ?

Answer 18

yes

Answer 19

Displacement between two points = shortest distance between that two points

Shortest distance between A and C will be equal to the diameter of the circle. Since radius is 7, displacement = 7+7 [or 7*2]=14

Answer 20

It is a straight line connecting A and C....which is the shortest path.
so it's a diameter which connects A and point C, opposite to A.

Answer 21

ok thats clear now . Sorry i last doubt how the displacement will be 0 of point D to A ?

Answer 22

Displacement will be 0 at point a and will be 7\(\sqrt{2}\)

Answer 23

at point D

Answer 24

sorry, I didn't get u :(

Answer 25

When u come back to ur initial position then ur displacement is counted as zero.
Shruthi started at point A so her displacement will be counted as 0 if she comes back to point A

Answer 26

At point D, the shortest distance between A and D will be equal to the arc AD and hence displacement will be 7\(\sqrt{2}\)

Answer 27

ok now i get it thank u so much and sorry for disturbing

Answer 28

It's allryt :)
Happy to help

Answer 29

@aryandecoolest to you too thanks for helping me :)

Answer 30

anytime)

Answer 31

@aryandecoolest sorry for asking this foolish question are u a boy or girl?

Answer 32

LOL @Greaty what you think i may be? :)

Answer 33

of course I know that u r a human...:)

Answer 34

hahaha wow you are genius @Greaty OF course i am human not alien but in that what's my gender??

Answer 35

A GIRL?

Answer 36

LOL sorry you went complete wrong @Greaty

Answer 37

oh sorry

Answer 38

never mind.... :) :P

Answer 39

anyway u a great friend. U belongs to which place?