when t = 2 s. Sketch the path for the first 2 seconds of motion and show the velocity and acceleration vectors for t = 2 s.(2/63)

Transcription

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2 . The -coordine of pricle in curiliner oion i gien b where i in eer nd i in econd. The -coponen of ccelerion in eer per econd ured i gien b =. If he pricle h -coponen = nd when = find he gniude of he eloci nd ccelerion when =. Skech he ph for he fir econd of oion nd how he eloci nd ccelerion ecor for =.(6)

3 = = nd when = find he gniude of he eloci nd ccelerion when =. Skech he ph for 6 for d d d d 8 for d d d d d d d d he fir econd of oion nd how he eloci nd ccelerion ecor for =.

4 = = nd when = find he gniude of he eloci nd ccelerion when =. Skech he ph for j i j i r j i j i for j i j i j i j i he fir econd of oion nd how he eloci nd ccelerion ecor for =

5 . A pricle oe in he - plne wih - coponen of eloci in eerecond gien b =8 wih in econd. The ccelerion of he pricle in he -direcion in eer per econd ured i gien b = wih in econd. When = = = nd =. Find he euion of he ph of he pricle nd clcule he gniude of he eloci of he pricle for he inn when i - coordine reche 8. (66)

6 =8 = when = = = nd = euion of he ph gniude of eloci when i = d d d d d d d d d d d d d d 8 king he ure of boh ide direcion direcion euing

7 =8 = when = = = nd = euion of he ph gniude of eloci when i =8. 8 8()

8 . The urerbck Q hrow he foobll when he receier i in he poiion hown. The receier eloci i conn nd he cche he bll when i i boe he ground. If he urerbck deire he receier o cch he bll.5 fer he lunch inn hown deerine he inil peed nd ngle reuired. (7)

9 = =c = =.5 =? =? (.5) 55 Bll when cugh in direcion 55.5 n in Bll when cugh in direcion g in n

10 . The pilo of n irplne crring pckge of il o reoe oupo wihe o relee he pckge he righ oen o hi he recoer locion A. Wh ngle wih he horizonl hould he pilo line of igh o he rge ke he inn of relee? The irplne i fling horizonll n liude of wih eloci of kh. (75)

11 ngle wih he horizonl of pilo line of igh o he rge he inn of relee 9.8 g g oion in -direcion g u u g u u () oion in -direcion.7 5 n n = u= kh A h k h k h k u

12 5. The uzzle eloci of longrnge rifle A i u =. Deerine he wo ngle of eleion which will peri he projecile o hi he ounin rge B. (8)

13 u = deerine wo ngle of eleion n ec ec in 5.95 in g n 6. n 66. 5n 766.n 766.n n ec 5n 5 n

14 6. For cerin inerl of oion he pin P i forced o oe in he fied prbolic lo b he ericl loed guide which oe in he direcion he conn re of. All eureen re in nd. Clcule he gniude of nd of pin P when = 6.

15 = (conn) clcule gniude of of pin P when = 6. nd

16 7. Pin A nd B u lw rein in he ericl lo of oke C which oe o he righ conn peed of 6 c. Furherore he pin cnno lee he ellipic lo. Wh i he peed which he pin pproch ech oher when he oke lo i = 5 c? Wh i he re of chnge of peed owrd ech oher when he oke lo i gin = 5 c? c 6 c oke 6 c

17 =6 c (conn) pin cnno lee he ellipic lo. Wh i he peed which he pin pproch ech oher when he oke lo i = 5 c? Wh i he re of chnge of peed owrd ech oher when he oke lo i gin = 5 c? c 6 c oke 6 c

18 8. A projecile i lunched wih peed fro poin A. Deerine he lunch ngle which reul in he iu rnge up he incline of ngle (where 9 ). Elue our reul for = nd 5. (95)

19 lunch ngle for iu elue reul for = nd 5 n in n in in in () () () in in () g g g puing in fro g B g B n n n in g g o o g in

20 d d lunch ngle for iu elue reul for = nd 5 o g g in n n in n n g in n in n in in rcn n n n n in g n n n d in n n d n n ec in n

21 n lunch ngle for iu elue reul for = nd 5 8 rcn 8 9 n n ince i i (-) i hould be le hn co n n co n n( 9) rcn nd rcn 9 n co n( 9) ine ngen All ine

22 9. A golfer hi he golf bll he op of hill wih n iniil eloci of o = which ke n ngle of = 6 wih he horizonl een. Deerine he coordine of he poin h he bll will hi he ground he ipc eloci of he bll i hi he ground nd ol fligh ie of he bll. The geoer of he loped hill i gien = -.5 nd boh in eer. Tke g =9.8.

23 o = = 6 deerine he coordine of he poin h he bll will hi he ground he ipc eloci of he bll i hi he ground nd ol fligh ie of he bll. = -.5 () g =9.8.