Motion In Straight Line

Question

A particle starts from O and moves along straight line passing through O. It reaches A at t =10s and B at t - 20s. The particle transverse OA with speed 12m/s and AB with speed 16m/s. Find the average velocity of motion.

Solution

Time space taken space by space the space particle space to space reach space point space straight A space and space straight B comma space straight t subscript 1 equals straight t subscript 2 equals 10 straight s

Velocity space with space which space the space particle space traverses space OA comma space straight v subscript 1 equals 12 straight m divided by straight s Velocity space with space which space the space particle space traverses space AB comma space straight v subscript 2 equals 16 straight m divided by straight s

Therefore average velocity is,

space space top enclose straight v equals fraction numerator straight v subscript 1 plus straight v subscript 2 over denominator 2 end fraction equals fraction numerator 12 plus 16 over denominator 2 end fraction equals 14 straight m divided by straight s

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