A car of mass 1000 kg is moving at a speed of 30 m / s . Brakes are applied to bring the car to rest. If the net retarding force is 5000 N , the car comes to stop after travelling d m in t s . Then

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Given: mass of car m = 1000 kg ​ u = 30 m / s v = 0 m / s retarding force f = 5000 N ∴ retardation, − a = 1000 5000 ​ = 5 m / s 2 ​ By equation, v 2 − u 2 = 2 as ​ 0 − ( 30 ) 2 = − 2 × 5 × d ∴ d = 10 900 ​ = 90 m ​ and a = t v − u ​ ∴ t = a v − u ​ = − 5 0 − 30 ​ = 6 s

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