Question

Alcohol consumption slows people's reaction times.In a controlled government test,it takes a certain driver 0.320 s to hit the brakes in a crisis when unimpaired and 1.00 s when drunk.When the car is initially traveling at 90km/h,how far does the car travel before coming to a stop when the person is drunk compared to sober?

Answer 1

When the person is drunk the car travels 20.1 meters more than when the person is sober. The distance traveled by car is:

Person drunk: 28.1 m

Person sober: 8 m

Step-by-step explanation:

The distance traveled can be found using the following equation:

`v = (x)/(t) \rightarrow x = v*t`

Where:

v: is the speed = 90 km/h

t: is the time

When the person is sober, the time that takes to hit the brakes is 0.320 s, so we have:

`x = v*t = 90 (km)/(h)*(1 h)/(3200 s)*0.320 s = 8 \cdot 10^(-3) km = 8 m`

And when the person is drunk, the time is 1.00 s, hence the distance is:

`x = v*t = 90 (km)/(h)*(1 h)/(3200 s)*1 s = 0.0281 km = 28.1 m`

The distance traveled by the car when the person is drunk compared when the person is sober is:

`d = 28.1 m - 8 m = 20.1 m`

Therefore, when the person is drunk the car travels 20.1 meters more than when the person is sober.

I hope it helps you!