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1. A farmer moves along the boundary boundary of a square square eld of side 10 m in 40 s. Wh the magnitude of displacement of the farmer at the end of minutes 0 seco his initial position.
Ans. !he farmer farmer ta"es 40 s to cover 4 # 10 $ 40 m. %n min 0 sec & &#'0( )0( )0( $140 s( * he will cover a distance $ &40+40(# 1 140 m.
!herefore !herefore * the farmer farmer completes 140+40 140+40 $ ,.- rounds rounds & , complete complete rounds rounds a round ( of the eld in min and 0 s. !hat means * after min 0s* 0s* the farmer will be at the opposite opposite end of the point. ow * there can be two e/treme cases. Case 1
tarting point is a corner point of the eld.
%n this case* the farmer will be at the diagonally opposite of the eld after m 2ence * the displacement will be √10^2 X10^2 = √200 = 14.1 m Case 2:
Starting point is the middle point point of any side of the field.
In this case the farmer will e at the middle point of the opposite side of the field after 2 min 20 s. !herefore" the displacement will e e#$al to the side of the field" i.e. 10 m. %or any other starting point" the displacement will e etween 14.1 m and 10 m. .
A particle particle moves from from a point 3 directly directly toward towards s another point point which is at a distance distance of 10 cm fr comes bac" to 3 directly. directly. 5alculate i( !he total distance travelled ii( !he displacement of the particle Ans i( ii(
!otal distance travelled $ 10 ) 10 $ 0 cm Displa Displacem cement ent is the shortes shortestt measu measurab rable le distanc distance e betwe between en the initia initiall and and the nal nal posi positio tio position of an ob6ect. An ob6ect which has covered a distance can have 7ero displacement* bac" to its starting point* i.e. the initial position. 2ere the particle moves from to and then comes bac" to 3 directly. directly. 2ence the displace particle is 8 9:;<=. Read Free Foron 30this Days Sign up to vote title ,. A body thrown thrown in the the vertically vertically upwar upward d direction direction rises rises upto a height h and comes com es bac" to the pos Useful Not useful Cancel anytime. calculate Special offer foristudents: Onlyto$4.99/month. ( !he to tal di distance tr travelled by by th the bo body ii( !he di displacement of of th the bo body
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Distance travelled $ C & ,.14 -( $ B.>- cm ii(
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Displacement $
√ &'^2 &'^2 ( &)^2 = √ *^2 ( *^2 *^2 = √2*(2* = √*0 = +.0+ +.0+ cm
imilar problems for reference
Example 4: An 4: An object moves from point A to B to C along the circle as shown figure below. be low. a) Fin the total istance covere b! the moving object. b) Fin the isplacement of the object.
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"olution:
a) #he total istance is e$ual to half the circumference of the circle an give % &'()& * +i * ,) % , +i -m
b) #he magnitue of the isplacement is e$ual to the iameter AC of the cir given b! % your * , % /semester -m with irection the East Master withtoScribd & The New York Times
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Cancel anytime. 0: An 0: An moves from point A to point B along the circle as shown SpecialExample offer for students: Onlyobject $4.99/month. figure below. be low.
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"olution:
a) #he total istance is e$ual to the $uarter the circumference of the circle a b! % &'(4)& * +i * ,) % '.0 +i -m
b) #he magnitue of the isplacement is e$ual to the h!potenuse AB of the angle AB1 as shown below
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2se +!thagora3s theorem to fin AB as follows AB % , , % '5 % AB % ,6 -m
6. A person person travels travels a distance distance of 1,5 m towards towards east, east, then 2.0 m towards towards south and and finally finally 4 towards east , find i) The total distance travelled ii) The total displacement Read Free Foron 30this Days Sign up to vote title
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L et1c mr e pr e s en t1 m The nma nt r a v e l s1 . 5c mf r o m At oBt o wa r dea s t ,t h en2. 0 c mf r o m Bt oC t o w andfi nal l yC t oD4. 5c mt o war dseas t . Res ul t antd i s pl ac ementc anb ef oundb y s t ar t i ngpoi ntAwi t ht hefi ni s hi ngPoi ntD.Thent hel i neADr epr es ent st hefi nal d i s p l a c eme nto ft h ema n.Onme as u r i n g,wefi nd AD=6. 3cm Si nce1cm =1me met r e 6 . 3c m =6 . 3 me me t r e Thus ,t her es ul t antdi s pl ac ementoft hemani s6. 3met r es Ort hedi s pl ac ementc anbecal c ul at edf ol l o wi ngme met hod.
Bydr a wi n gt h i sou t ,y o uc a ns e et h att h ed i s p l a c eme nti st h eh y po t e nu s eo far i g htt r i a ng l ewi t hl e gs1. 5+4 . 5=6 . 0m ( b ya dd i n gu pt h ed i s t a nc e si nt h ee as td i
√,^2 ( 2^2 = √-,(4 = √40 = ,.- cm
B. A person moves on a semi circular circular trac" trac" of radius radius 4 m during during a morning morning w starts at one end of the trac" and reaches the other end. ?ind the distance co and the displacement of the person. Ans 1. Distance Distance $ 3%r $ &+B( &+B( 4 $ '4 m ince it is a semi circle circle the total distance distance travelled is equal to of the circumference. o distance distance $ '4+ '4+ $ 1, m . Displa Displace cemen mentt $ 4 4 $ >4 m
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>. A body travels travels a distance distance of > m from A to then* then* moves a distance of ' m at to
[email protected] What is the total distance travelledE. ?ind the magnitude of resultant displacement. c 'm A >m i( i i(
!otal dist istance travelled led $ > )' $ 14 F Fagnitu itude of displac lacement A5 $ √ ')^2 ()^2 = √ /^2 (,^2 =√ ,4(-, = √100 = 10 m.
G. tA body moves moves towards towards ease* by by a distance distance of , "m and turns turns towards towards north north distance of 4 "m. What is the magnitude of displacement of the bodyE. 5 4 Read Free Foron 30this Days Sign up to vote title Useful Not useful A @ Cancel anytime. , Special offer for students: Only $4.99/month.
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!ime ta"en ta"en $ 1.- hrs. hrs.
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