Q46 / 103 · NTA Abhyas (NEET) 2020 · Physics · Motion In One Dimension

Speeds of two identical cars are u and 4u, respectively, at a specific instant. If the same retardation is applied to both the cars, the ratio of the respective distances in which the two cars are stopped, from that instant, is

  • A
    1 : 1
  • B
    1 : 4
  • C
    1 : 8
  • Correct answer
    D
    1 : 16

Solution

Both the cars are given the same deceleration simultaneously and both finally stop.

Formula relevant to motion : u2=2as

∴          For the first car,  s⁡ 1 = u 2 2 a 

For the second car, s⁡ 2 = 4 u⁡ 2 2 a = 1 6 u⁡ 2 2 a  

∴    s⁡ 1 s⁡ 2 = 1 1 6

Hence, the correct answer is option: 'D'.

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