Question

The average time taken by a normal person to react to an emergency is one fifteenth of a second and is called reaction time. The reaction time of people increases when they are intoxicated. If a bus is moving with a velocity of 90km/hr and its driver sees a child running across the road, how much distance had the bus moved if the reaction time of driver was ½ second under the influence of alcohol?

Answer 1

velocity (v) of bus, = 90km/ h$=90\times \frac{5}{18}=25{ms}^{-1}$
velocity (v) of bus, $\text{=25m/s}$ =25m/s

time $=\frac{1}{15}sec$

so distance covered by bus, = velocity ×time
so distance covered by bus $=25\times \frac{1}{15}=\frac{5}{3}{ms}^{-1}$$\text{= 1.66 metre}$


for intoxicated driver:
Reaction time $=\frac{1}{2}sec$
so
distance $25\times \frac{1}{2}=12.5m$ $\text{= 12.5 metre}$