a driver of car travelling at 25a driver of a car travelling at 52 kilometre per hour the brakes and accelerate uniformly in the opposite direction . The car stops drivers in 5s . Another driver going at 3 per hour in another chorus applies his breath slowly and stops in 10 seconds.
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Answer:
As given in the figure below PR and SQ is the Speed-time graph for given two cars with initial speeds 52 km/hr and 3 km/hr respectively.
Distance Travelled by first car before coming to rest =Area of Δ OPR
= (1/2) x OR x OP
= (1/2) x 5 s x 52 kmh-1
= (1/2) x 5 x (52 x 1000) / 3600) m
= (1/2) x 5x (130 / 9) m
= 325 / 9 m
= 36.11 m
Distance Travelled by second car before coming to rest =Area of Δ OSQ
= (1/2) x OQ x OS
= (1/2) x 10 s x 3 kmh-1
= (1/2) x 10 x (3 x 1000) / 3600) m
= (1/2) x 10 x (5/6) m
= 5 x (5/6) m
= 25/6 m
= 4.16 m
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