On a two-lane road a car A is travelling with a speed of v = 5 m / s . Two cars B and C approach car A in opposite directions with a speed u = 10 m / s each. At a certain instant, when B and C are equ

Question

On a two-lane road a car A is travelling with a speed of v = 5 m / s . Two cars B and C approach car A in opposite directions with a speed u = 10 m / s each. At a certain instant, when B and C are equidistant from A , each being l = 1500 m away, B decides to overtake A before C does. The minimum acceleration of car B required to avoid an accident with C is:

TestHub · Accepted Answer

Relative to A , car B moves at 5 m / s and car C at 15 m / s . C reaches the position of A in 15 1500 ​ = 100 s. B must cover the same 1500 m relative to A in 100 s: 1500 = 5 ( 100 ) + 2 1 ​ a 10 0 2 , giving a = 10000 2000 ​ = 0.2 m / s 2 . Option C.

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