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Perhankah gratk v dan t untuk benda yang bergerak ...

Perhankah gratk v dan t untuk benda yang bergerak lurus berikut.

  1. 22 Meter 

  2. 32 Meter 

  3. 42 Meter 

  4. 52 Meter 

  5. 62 Meter 

Jawaban:

Diketahui:

Ditanya:
begin mathsize 14px style s subscript t o t a l end subscript blank equals space ? end style 

Jawab

Gerak A-B (GLBB dipercepat)
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a subscript A B end subscript end cell equals cell fraction numerator increment v over denominator increment t end fraction end cell row cell a subscript A B end subscript end cell equals cell v subscript A B end subscript over t subscript A B end subscript end cell row cell a subscript A B end subscript end cell equals cell fraction numerator 6 minus 0 over denominator 2 minus 0 end fraction end cell row cell a subscript A B end subscript end cell equals cell 3 blank m over s squared end cell row cell s subscript A B end subscript end cell equals cell v subscript A B end subscript. t subscript A B end subscript plus 1 half. a subscript A B end subscript. t subscript A B end subscript superscript 2 end cell row cell s subscript A B end subscript end cell equals cell open parentheses 0 close parentheses. open parentheses 2 minus 0 close parentheses plus open parentheses 1 half close parentheses. open parentheses 3 close parentheses. open parentheses 2 minus 0 close parentheses squared end cell row cell s subscript A B end subscript end cell equals cell 0 plus 6 end cell row cell s subscript A B end subscript end cell equals cell 6 blank straight m end cell end table end style 

 

Gerak B-C (Kecepatan Tetap)
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell s subscript B C end subscript end cell equals cell v subscript B C end subscript. t subscript B C end subscript end cell row cell s subscript B C end subscript end cell equals cell left parenthesis 6 right parenthesis. left parenthesis 8 minus 2 right parenthesis end cell row cell s subscript B C end subscript end cell equals cell 36 blank straight m end cell end table end style 

 

Gerak C-D (GLBB diperlambat)
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a subscript C D end subscript end cell equals cell fraction numerator increment v over denominator increment t end fraction end cell row cell a subscript C D end subscript end cell equals cell v subscript C D end subscript over t subscript C D end subscript end cell row cell a subscript C D end subscript end cell equals cell fraction numerator 0 minus 6 over denominator 12 minus 8 end fraction end cell row cell a subscript C D end subscript end cell equals cell negative 1 , 5 blank m over s squared end cell row cell s subscript C D end subscript end cell equals cell v subscript C D end subscript. t subscript C D end subscript plus 1 half. a subscript C D end subscript. t subscript C D end subscript superscript 2 end cell row cell s subscript C D end subscript end cell equals cell open parentheses 6 close parentheses. open parentheses 12 minus 8 close parentheses plus open parentheses 1 half close parentheses. open parentheses negative 1 , 5 close parentheses. open parentheses 12 minus 8 close parentheses squared end cell row cell s subscript C D end subscript end cell equals cell 24 minus 12 end cell row cell s subscript C D end subscript end cell equals cell 12 blank straight m end cell end table end style 

 

Gerak D-E (GLBB diperlambat)
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a subscript D E end subscript end cell equals cell fraction numerator increment v over denominator increment t end fraction end cell row cell a subscript D E end subscript end cell equals cell v subscript D E end subscript over t subscript D E end subscript end cell row cell a subscript D E end subscript end cell equals cell fraction numerator negative 2 minus 0 over denominator 14 minus 12 end fraction end cell row cell a subscript D E end subscript end cell equals cell negative 1 blank m over s squared end cell row cell s subscript D E end subscript end cell equals cell v subscript D E end subscript. t subscript D E end subscript plus 1 half. a subscript D E end subscript. t subscript D E end subscript squared end cell row cell s subscript D E end subscript end cell equals cell open parentheses 12 close parentheses. open parentheses 14 minus 12 close parentheses plus open parentheses 1 half close parentheses. open parentheses negative 1 close parentheses. open parentheses 14 minus 12 close parentheses squared end cell row cell s subscript D E end subscript end cell equals cell 24 minus 2 end cell row cell s subscript D E end subscript end cell equals cell negative 22 blank straight m end cell end table end style 

 

Total jarak
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row s equals cell s subscript A B end subscript plus s subscript B C end subscript plus s subscript D C end subscript plus s subscript D E end subscript end cell row s equals cell 6 plus 36 plus 12 minus 22 end cell row s equals cell 32 blank straight m end cell end table end style 

Jadi, jawaban yang benar adalah B

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