Page 131 - Math Grade 12 (Basic)

PROEUS DARA
3.

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US ~Uinnlltl'i't5Glt0 '1 tiUtiHHS g J.tnnntil9HS&r:ll'itiffl'l:flSUS 2 27 000 SlR t'l..fi rut?i
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nb-erutOGSS~nnnti S(t) sbdhw:t1bm-e~Hn S'(t) = 60,/t tEjru t dlcrssto
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ri~rHomti&~'i:imrl s nUd'i r~dnru '1 t~tl=lU~l t'i{h ru:nHuthn s 'itiMsttinns ru1 ggsgu~
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Gtjm : t?Jt~~n:ngtnnrutu~ffl~ S(t) = 41, ooo t~-ej t
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ffi'i:ititl=fltl tt=l'i:flS S'(t) = 60/t 2h S(O) = 27,000
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m S'(t) = 60/t tSH S(t) = (t)dt = 60t dt = - -+c = 40t +c, c
60t
2
2
3
2
3
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ti:Jlru S(O) = 27000 t2l8tt:'l(f1S 40x0 +c = 27000

c = 27000
3
2
EjtH S g S(t) = 40t + 27000
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ffl'i:i!U'i:iffl~ S(t) = 41 000 tt=lUlS : + 27,000 = 41000
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2 2
40t = 14000 ' t = 350 ' t = 49.66"" 50
~msg t?i1j1ltttitr~ru 50 t~ '1
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ti:llrutru~s V(t) = 96-32t(mis) '1

n. ~nn'i:iM S(t) ti:llru~hm~r~t::ngmnjgfln-en5 S(O) = 18m '1
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n. ~nn'i:ihl S(t) ti:llru~hm~fit::ngmnjgfln-en5 S(O) = 18m un:tnru t1Slg
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ttmru-enl~tSlg~njg~:i:Jlrutru~s = 96-32t