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bqWn‰v : Ne\wBibw : kZn-iw, AZniw

(1) (a) Xmsg sImSp-Øn-cn-°p∂hbn¬ kZni Af-hp-Iƒ Xnc-s™-Sp-sØ-gp-XpI.kabw, {]th-Kw, thK-X, Zqcw, ÿm\m-¥-cw, amkv (2)

(b) kZniw F∂ ]Zw sIm≠v F¥m-W¿Y-am-°p-∂Xv?(1)

kvtIm¿ : 3 kabw : 3 an\n´v

bqWn‰v : Ne\wBibw : Zqcw, ÿm\m-¥cw

(2) A bn¬ \n∂pw bm{X Xncn®v Hcmƒ B, C, D F∂o ÿe-߃hgn A bn¬ Xncn-sI-sb-Ønb ]mX Nn{Xo-I-cn-®n-cn-°p-∂p.

A

B C

D110 m

70 m

40 m

60 m 80 m

(a) Abmƒ XncnsI A bnse-Øp-tºmƒ k©-cn® Zqc-sa{X? ÿm\m-¥-c-sa{X?(2)

(b) C bnse-Øp-tºmƒ ÿm\m-¥-c-sa{X? (1)

kvtIm¿ : 3 kabw : 5 an\n´v

bqWn‰v : Ne\wBibw : Zqcw, thKX

(3) A, B F∂o c≠v hy‡n-Iƒ HmSnb ]mXbpw AXn-s\-SpØ ka-bhpw Nn{Xo-I-cn-®n-cn-°p-∂p.

200 m

20 s

B

CXn¬ BcpsS Hm´-Øn-\mWv thKX IqSp-X¬ F∂v Is≠-Øp-I. (3)

kvtIm¿ : 3 kabw : 4 an\n´v

150 m

10 sA

Du¿P-X{¥w bqWn‰v ˛ 9Ãmt‚¿Uv VIII Ne\wtNmZy-tiJcw

2

bqWn‰v : Ne\wBibw : Zqchpw, ÿm\m-¥chpw

(4) A bn¬ \n∂pw Hcp Im¿ bm{X-Xn-cn®v B hgn C bnse-Ønb ]mXbpw as‰mcp Im¿P bn¬ \n∂pw bm{X Xncn®v Q hgn R seØnb ]mXbpw Nn{Xo-I-cn-®n-cn-°p-∂p.

110 m

80 m60 m

A

B

C

P Q R60 m 40 m

(a) A bn¬ \n∂pw bm{X Xncn® Im¿ k©-cn® Zqc-sa{X? Imdns‚ ÿm\m-¥c-sa{X? (2)

(b) P bn¬ \n∂pw bm{X Xncn® Im¿ k©-cn® Zqc-sa{X? ÿm\m-¥-c-sa{X?(2)

(c) Hcp hkvXp-hns‚ k©-cn® Zqchpw ÿm\m-¥-chpw Xpey-am-Ip-∂-sX-t∏m-gmWv? (1)

kvtIm¿ : 5 kabw : 8 an\n´v

bqWn‰v : Ne\wBibw : icm-icn thK-X, thK-X-Ifpw icm-icn

(5) A bn¬ \n∂pw B hsc k©-cn® Hcp Im¿ BZy ]IpXn Zqcw 40 km/h thK-X-bnepwc≠mw ]IpXn Zqcw 60 km/h thK-X-bn-ep-amWv k©-cn-®Xv(a) Cu Imdns‚ icm-icn thK-X-sb{X? (2)(b) Cu Imdns‚ thK-X-I-fpsS icm-i-cn-sb{X? (2)

kvtIm¿ : 4 kabw : 8 an\n´v

bqWn‰v : Ne\wBibw : {]th-Kw, XzcWw

(6) Hcp hrØ-]m-X-bn¬ IqSn 5 m/s ka-th-K-X-bn¬ k©-cn-°p-I-bmWv Hcp hkvXp.(a) Cu hkvXp-hn\v ka-{]-th-K-amtWm AtXm Aka{]th-K-amtWm? \nß-fpsS

DØcw km[q-I-cn-°p-I. (2)(b) Cu hkvXp-hn\v Xzc-W-apt≠m? Cu \nK-a-\-Øn¬ FØn-t®¿∂-sX-ßs\?

(2)kvtIm¿ : 4 kabw : 6 an\n´v

bqWn‰v : Ne\wBibw : XzcWw

(7) Xmsg ]dbp∂ Hmtcm kµ¿`-Ønepw hkvXp-hn\v Xzc-W-amtWm AtXm aµo-I-c-W-amtWm F∂v FgpXpI.(a) tÃj-\n-¬ \n¿Øm≥ t]mIp∂ s{Sbn≥ (1)(b) tÃj\n¬ \n∂v ]pds∏Sp∂ s{Sbn≥ (1)(c) Xmtg°v ]Xn®psIm-≠ncn-°p∂ I√v (1)

kvtIm¿ : 3 kabw : 3 an\n´v

3

bqWn‰v : Ne\wBibw : {]th-Kw

(8) 8 m/s ka-th-K-X-bn¬ Hcp hkvXp k©-cn-°p∂ c≠v ]mX-Iƒ Nn{Xo-I-cn-®n-cn-°p-∂p. Ch-bn-te-Xn-emWv hkvXp-hn\v ka-{]-thKw D≈Xv? DØcw km[q-I-cn-°pI.

A B(i)

(ii)(2)

kvtIm¿ : 2 kabw : 3 an\n´v

bqWn‰v : Ne\wBibw : XzcWw

(9) Nen-°p∂ Hcp hkvXp-hns‚ {]thKw 5 s sIm≠v 80 m/s ¬ \n∂pw 20 m/s Bbnamdp-∂p. Cu hkvXp-hns‚

(a) {]th-K-am-‰-Øns‚ \nc°v F{X? (2)(b) {]thKw Ipd-™p-h-cp-∂-Xns‚ \nc°v GXv t]cn¬ Adn-b-s∏-Sp-∂p. (1)

kvtIm¿ : 3 kabw : 6 an\n´v

bqWn‰v : Ne\wBibw : XzcWw

(10) k©-cn-®p-sIm-≠ncn°p∂ Hcp hkvXp-hns‚ {]thKw 10 s sIm≠v 20 m/s ¬ \n∂pw90 m/s Bbn amdp-∂p.

(a) h-kvXp-hns‚ {]th-K-am‰w F{X? (1)(b) h-kvXp-hns‚ XzcWw IW-°m-°p-I. (2)

kvtIm¿ : 3 kabw : 5 an\n´v

bqWn‰v : Ne\wBibw : Ne-\-k-a-hmIyw

(11) 20 m/s {]th-K-Øn¬ Nen-°p∂ Hcp hkvXp-hn\v 4 m/s2 XzcWw \¬In-bm¬

(a) 8 s Ign-bp∂ Ah-k-c-Ønse {]th-K-sa-{X-bm-bn-cn°pw? (2)(b) XzcWw ]Ip-Xn-bm-°n-bm¬ C{Xbpw ka-bw-sIm≠v hkvXp k©-cn® Zqcw

F{X-bm-bn-cn°pw? (2)

kvtIm¿ : 4 kabw : 5 an\n´v

4

bqWn‰v : Ne\wBibw : Zqchpw, ÿm\m-¥chpw

(12) Hcp hkvXp A bn¬ \n∂pw bm{X Xncn®v B hgn C bnse-Ønb ]mXbpw as‰mcphkvXp P bn¬ \n∂v bm{X Xncn®v Q hgn R seØnb ]mXbpw Nn{Xo-I-cn-®n-cn-°p-∂p. Ch-bn-te-Xn-emWv k©-cn® Zqchpw ÿm\m-¥-chpw Xpey-am-Ip-∂Xv? Imc-W-sa¥v? (2)

A B C D E F0 ao. 4 ao. 8 ao. 10 ao. 24 ao. 54 ao.

0s 2 s 4 s 8 s 15 s 18 s

0s 2 s 4 s 6 s 8 s

A B C D E0 ao. 4 ao. 8 ao. 12 ao. 16 ao.

kvtIm¿ : 2 kabw : 4 an\n´v

bqWn‰v : Ne\wBibw : Zqchpw, th-K-Xbpw

(13)

Hcp hkvXp-hns‚ k©m-c-]mX Nn{Xo-I-cn-®n-cn-°p-∂p.

(a) hkvXp A bn¬ \n∂pw B hsc k©-cn® Zqc-sa{X? (1)(b) hkvXphns‚ thKX Is≠-Øp-I. (2)(c) hkvXp-hns‚ k©mcw ka-th-K-X-bn-emtWm F∂v Is≠-Øp-I. (1)

kvtIm¿ : 4 kabw : 6 an\n´v

bqWn‰v : Ne\wBibw : icm-icn thK-X, thK-X-I-fpsS icm-icn

(14) Nn{Xw \nco-£n-°p-I.

kab CS-thf k©-cn® Zqcw k©-cn-°m-s\-SpØ thKXsk°‚n¬ ao‰-dn¬ kabw

8 - 15s hsc 4 ao‰¿ 2 s

15-18s hsc 14 ao‰¿ 7 s

A

B

C

P Q R

Nn{Xw (i)

Nn{Xw (ii)

(a) hkvXp C apX¬ E hsc k©-cn°ms\-SpØ ka-b-sa{X? (1)(b) Nn{Xw hni-I-e\w sNbvXv Xmsg sImSp-Øn-cn-°p∂ ]´nI ]q¿Øn-bm-°p-I.

(2)

5

(c) 8 s apX¬ 18 s hsc icm-icn thK-X-sb{X? (1)(d) 8 s apX¬ 18 s hsc thK-X-I-fpsS icm-i-cn-sb{X? (1)

kvtIm¿ : 5 kabw : 8 an\n´v

bqWn‰v : Ne\wBibw : kZn-iw, AZn-iw, thK-X, {]th-Kw, XzcWw

(15) ]´nI \nco-£n-°p-I. A, B, C tImf-߃ Xmc-Xayw sNbvXv Xmsg sImSp-Øn-cn-°p∂tNmZy-߃°v DØcw Fgp-Xp-I.

A B C D

x m/s

{]thKw y m/s

XzcWw z

Zqcwkabw

{]th-K-am‰wkabw

(a) x, y, z F∂nh F¥ns\ kqNn-∏n-°p-∂p-sh∂v Fgp-XpI. (3)

(b) Ch-bn¬ Hmtcm∂pw kZni Af-hp-I-fmtWm AZni Af-hp-I-fmtWm F∂vtImfw D bn¬ ]qcn-∏n-°p-I. (3)

kvtIm¿ : 6 kabw : 9 an\n´v

bqWn‰v : Ne\wBibw : {]th-Kw, XzcWw

(16) 40 m/s {]th-K-Øn¬ k©-cn-°p∂ Hcp hml\w t{_°v sNbvX-t∏mƒ AXv 10 ska-bw-sIm≠v \n›-e-ambn

(a) hml-\-Øns‚ XzcWw IW-°m-°p-I. (2)

(b) {]thKw Ipd-™p-h-cp-tºmƒ D≠m-Ip∂ XzcWw GXv t]cn-emWv Adn-b-s∏-Sp-∂Xv? (1)

kvtIm¿ : 3 kabw : 6 an\n´v

bqWn‰v : Ne\wBibw : Aka{]th-Kw

(17) 20 m/s ka-b-{]-th-K-Øn¬ k©-cn-°p∂ Hcp hkvXp-hn¬ _ew {]tbm-Kn-®-t∏mƒhkvXp-hns‚ {]thKw Ak-a-{]-th-K-ambn. Aka{]thKw D≠m-Im≥ Imc-W-am-Im-hp∂ aq∂v kml-cy-߃ Fgp-Xp-I. (3)

kvtIm¿ : 3 kabw : 6 an\n´v

6

bqWn‰v : Ne\wBibw : Zqcw, ÿm\m-¥cw

(18) Hcp t¢m°ns‚ sk°‚ v kqNn-bpsS kzX{¥ A{KØv Hcp tX\o-®-bpsS Nn{XwH´n-®n-cn-°p-∂p. Cu kqNn-bpsS \ofw 7 sk.ao. BWv. kqNn-bpsS A{Kw k©-cn-°p∂ ]mX-I-fpsS Np‰-fhv 44 sk.ao. BWv.

(a) sk°‚ v kqNn Ac an\n´v ]q¿Øn-bm-°p-tºmƒ tX\o® k©-cn® Zqc-sa{X?ÿm\m-¥-c-sa{X? (2)

(b) sk°‚ v kqNn Hcp an\n´v ]q¿Øn-bm-°p-tºmƒ ÿm\m-¥-c-sa{X? (1)kvtIm¿ : 3 kabw : 5 an\n´v

bqWn‰v : Ne\wBibw : thK-X, Zqcw, ÿm\m-¥cw

(19) Nn{Xw \nco- -£n-°p-I.

Hcp Ip´n A F∂ _nµp-hn¬ \n∂pw ]pd-s∏´v B, C F∂o _nµp-°-fn-eqsS k©n-cn®vD bn¬ FØp-∂p. Cu _nµp-°ƒ°n-S-bnse Zqchpw thK-Xbpw tcJ-s∏-Sp-Øn-bn-cn-°p-∂p. Cu Nn{Xw hni-I-e\w sNbvXv ]´nI ]q¿Øn-bm-°p-I. (3)

k©-cn® thKX k©-cn-°m≥ ÿm\m-¥cw k©-cn®Zqcw FSpØ kabw Zqcw

A apX¬ B hsc 10 m/s ............ 20m

B apX¬ C hsc 5 m/s 6s

C apX¬ D hsc 15 m/s ............

kvtIm¿ : 3 kabw : 5 an\n´v

12

3

7

9

8

6

10

11 1

2

45

A

B C

D

5m/s

10m/s 15m/s

40m

20m 30m