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CBSE Class 9 Answered

A moving body travels distance s with constant speed v1 and travels distance s with uniform speed v2. Prove that his average speed is begin mathsize 12px style fraction numerator 2 straight v subscript 1 straight v subscript 2 over denominator straight v subscript 1 plus straight v subscript 2 end fraction end style.
Asked by Topperlearning User | 10 Jun, 2016, 10:49: AM
answered-by-expert Expert Answer

begin mathsize 12px style Here comma space total space distance equals straight s plus straight s equals 2 straight s straight t subscript 1 equals straight s over straight v subscript 1 space and space straight t subscript 2 equals straight s over straight v subscript 2 Average space speed equals fraction numerator Total space distance space travelled over denominator Total space time space taken end fraction rightwards double arrow Average space speed equals fraction numerator 2 straight s over denominator straight t subscript 1 plus straight t subscript 2 end fraction rightwards double arrow Average space speed equals fraction numerator 2 straight s over denominator open parentheses straight s over straight v subscript 1 close parentheses plus open parentheses straight s over straight v subscript 2 close parentheses end fraction equals fraction numerator 2 straight s over denominator straight s open parentheses fraction numerator straight v subscript 1 plus straight v subscript 2 over denominator straight v subscript 1 straight v subscript 2 end fraction close parentheses end fraction rightwards double arrow Average space speed equals fraction numerator 2 over denominator open parentheses fraction numerator straight v subscript 1 plus straight v subscript 2 over denominator straight v subscript 1 straight v subscript 2 end fraction close parentheses end fraction equals fraction numerator 2 straight v subscript 1 straight v subscript 2 over denominator straight v subscript 1 plus straight v subscript 2 end fraction end style

Answered by | 10 Jun, 2016, 12:49: PM

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