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Sebuah benda bergerak dengan persamaan posisi (s d...

Sebuah benda bergerak dengan persamaan posisi S equals t plus 2 (s dalam meter dan t dalam sekon) Tentukan percepatan rata-rata antara t = 1 s sampai t = 3 s!

Jawaban:

Diketahui:

s equals open parentheses t plus 2 close parentheses straight m t subscript 1 equals 1 blank straight s t subscript 3 equals 3 blank straight s

Ditanya: a with bar on top

Jawab:

table attributes columnalign right center left columnspacing 0px end attributes row cell a with bar on top end cell equals cell fraction numerator v subscript 3 minus v subscript 1 over denominator t subscript 3 minus t subscript 1 end fraction end cell row blank equals cell fraction numerator begin display style s subscript 3 over t subscript 3 end style minus begin display style s subscript 1 over t subscript 1 end style over denominator t subscript 3 minus t subscript 1 end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator open parentheses t subscript 3 plus 2 close parentheses over denominator t subscript 3 end fraction minus fraction numerator open parentheses t subscript 1 plus 2 close parentheses over denominator t subscript 1 end fraction end style over denominator t subscript 3 minus t subscript 1 end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator open parentheses 3 plus 2 close parentheses over denominator 3 end fraction minus fraction numerator open parentheses 1 plus 2 close parentheses over denominator 1 end fraction end style over denominator 3 minus 1 end fraction end cell row blank equals cell fraction numerator begin display style 5 over 3 minus 3 over 1 end style over denominator 2 end fraction end cell row blank equals cell open parentheses fraction numerator 5 minus 9 over denominator 3 end fraction close parentheses cross times 1 half end cell row blank equals cell negative 4 over 3 cross times 1 half end cell row blank equals cell negative 2 over 3 space bevelled straight m over straight s squared end cell end table
        
Jadi, jawaban yang tepat adalah negative 2 over 3 space bevelled straight m over straight s squared.

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