Guys BReak ur head with these three ultimate problems...2nd one is very tough
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Hello Vichu_487 , Q.3) As per the given problem , the initial velocity V1 of Car A is greater than velocoty V2 of Car B. Car A is Behind Car B at a distance "L" To Prevent the collision , atleast the velocity of Car A be reduced to V2. Let Car A Take time T ot reduce its speed from V1 to V2 In the same time car B moves distance say "x" Using the formula, V2 = U2 + 2aS We have : V22 = V12 - 2a(L+x) Where "a" is the retardation. Therefore , (L+x) = (V12 - V22)/2a ( Equation 1 ) Further using V = U + aT , We have : V2 = V1 - aT T = (V1-V2)/a .........(Equation 2 ) During this inteval the distance "x" travelled by the Car B is given by : x = V2T = V2(V1-V2)/a (Equation 3 ) Substituting the value of "x" from equation.(3) in Eq.(1) L + V2(V1-V2)/a = (V12-V22)/2a Solve the above part we will get : L = (V1-V2)2/2a To Prevent the collision , "L" should be greater than the above value : Therefore , L > (V1-V2)2/2a 2aL > (V1-V2)2 And hence the answer ... (V1-V2) < (2aL)Hope you find it useful. plZ rate me if useful. Cheers!!!!!!!!!@@@!!!!!!!!! |
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