1.

TwocarsC_1and C_2movingin thesamedirectionon astraightroadwithvelocities12 m/sand 10 m/srespectively. Whenthe separation betweenthe two is200 m C_2startedacceleratingto avoidcollisionswhatis theminimumaccelerationof car C_2so thattheydon'tcollide .

Answer»

Solution :Byrelative
` veca _(C_1C_2)= veca_(C_1) - veca_(C_2) =0-a =(-a)`
` vecV_(C_1C_2)= vecV_(c_1) - vecV_(c_2) = 12- 10 =2 m//s `
so byrelativitywe want thecarto stop .
` thereforeV^2 - u^2= 2AS `
`implies0-2^2=- 2 xxa xx 200`
`impliesa =1/100m//s^2= 0.1m//s^2= 1 CM //s^2`
` therefore ` Minimumacceelerationneededby CAR`C_2 =1 cm //s^2`


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