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Matter In Our Surroundings

Question
CBSEENSC9005710

The average time taken by a normal person to react to an emergency is one fifteenth of a second and is called the ‘reaction time’. If a bus is moving with a velocity of 60 km/h and its driver sees a child running across the road, how much distance would the bus had moved before he could press the brakes ? The reaction time of the people increases when they are intoxicated. How much distance had the bus moved if the reaction time of the driver were ½ s under the influence of alcohol?

Solution

Given, 
Velocity of the moving bus = 60 km/hr
Distance ravelled by the bus before brakes are applied = ?
During the time of reaction, the velocity remains constant. 
For space normal space person colon
space straight t space equals space 1 over 15 space straight s comma
space straight v space equals space 60 space km divided by straight h space equals space fraction numerator 60 space cross times space 1000 over denominator 3600 end fraction space equals space 50 over 3 straight m divided by straight s
Distance space moved space before space brakes space are space pressed comma space
space space space space space space space space straight s space equals space vt space equals space 50 over 3 cross times 1 over 15 equals 10 over 9 equals space 1.11 space straight m. space space space space space space space space space space space space space space space space space space space space space
space space space space space space space space space space space space space space space space space space


When the driver is under the influence of alcohol, 
T h a t space i s comma
space
F o r space intoxicated space driver colon space space
T i m e comma space straight t space equals space 1 half straight s comma space space
V e l o c i t y comma space straight v space equals space 60 space km divided by straight h space equals space 50 over 3 straight m divided by straight s 
Distance moved before brakes are pressed, 
 straight s space equals space vt space equals space 50 over 3 cross times 1 half space equals 25 over 3 straight m space equals space 8.33 space straight m 

That is the bus will be travel a lesser distance when the driver is under the influence of alcohol.