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A driver of a car travelling …

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A driver of a car travelling at 52kmp/h applies the brake and accelerayed unniformly in the opposite dirrection.The car stops in 5 sec's. Another driver going at 3kmp/h in another car applies his brake slowly and stops in 10 sec's on the same graph paper plot the speed vs time graph for the 2 cars. Which of the 2 cars travel farther after the breaks are applied?
  • 1 answers

Sia ? 5 years, 9 months ago


As given in the figure below AB (in red line) and CD(in red line) are the Speed-time graph for given two cars with initial speeds 52kmh-1 and 3 km h-1 respectively.
Distance Travelled by first car before coming to rest =Area of OAB
= (12)  × OB × OA
= (12× 5s × 52 kmh-1
= (12× 5 × (52  × 1000)/3600)m
= (12) × 5 × (1309 )m
= 3259
= 36.11 m
Distance Travelled by second car before coming to rest =Area of OCD
= (12× OD × OA
= (12× 10 s × 3 kmh-1 
=(12× 10 × (3×10003600) m 
= (12× 10 × (56) m
= 5 ×(56) m 
= 256 m
= 4.16 m
 Clearly the first car will travel farther(36.11 m)than the first car(4.16 m).

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