A car 𝐴 is travelling on a straight level road with a uniform speed of 60 km/h. It is followed by another car 𝐵 which is moving with a speed of 70𝑘𝑚/ℎ. When the distance between them is 2.5 𝑘𝑚, the car 𝐵 is given a deceleration of 20 𝑘𝑚/ℎ 2 .After how much time will 𝐵 catch up with 𝐴.

Question : A car 𝐴 is travelling on a straight level road with a uniform speed of 60 km/h. It is followed by another car 𝐵 which is moving with a speed of 70𝑘𝑚/ℎ. When the distance between them is 2.5 𝑘𝑚, the car 𝐵 is given a deceleration of 20 𝑘𝑚/ℎ 2 .After how much time will 𝐵 catch up with 𝐴.

(A) 1 ℎ𝑟

(B) 1/2ℎ𝑟

(C) 1/4ℎ𝑟

(D) 1/8ℎr

Answer : option (B)

Solution :

A car 𝐴 is travelling on a straight level road with a uniform speed of 60 km/h. It is followed by another car 𝐵 which is moving with a speed of 70𝑘𝑚/ℎ. When the distance between them is 2.5 𝑘𝑚, the car 𝐵 is given a deceleration of 20 𝑘𝑚/ℎ 2 .After how much time will 𝐵 catch up with 𝐴
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