The average time taken by a normal person to react to an emergency is $1/15$ 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 have moved before he could press the brakes? The reaction time of the people increases when they are intoxicated. How much distance would the bus have moved if the reaction time of the driver were $1/2 \, s$ under the influence of alcohol?
(N/A) Given: Speed of the bus $= 60 \, km/h = 60 \times (5/18) \, m/s = 16.67 \, m/s$.
$(i)$ For a normal reaction time of $1/15 \, s$:
Distance $=$ Speed $\times$ Time $= 16.67 \times (1/15) = 1.11 \, m$.
$(ii)$ For a reaction time of $1/2 \, s$ under the influence of alcohol:
Distance $=$ Speed $\times$ Time $= 16.67 \times 0.5 = 8.335 \, m$ (approximately $8.34 \, m$).
$(i)$ For a normal reaction time of $1/15 \, s$:
Distance $=$ Speed $\times$ Time $= 16.67 \times (1/15) = 1.11 \, m$.
$(ii)$ For a reaction time of $1/2 \, s$ under the influence of alcohol:
Distance $=$ Speed $\times$ Time $= 16.67 \times 0.5 = 8.335 \, m$ (approximately $8.34 \, m$).
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