Question

Based on your average reaction time, how much time would it take to react to a traffic situation and stop a car traveling at 60 mph (1 mph equals 0.45 m/s) if you could decelerate the car at a rate of -3.4m/s2?

What distance would you travel (in meters) as the car came to a stop in the above situation?


Avg Reaction time: 0.218 ms​

Answer 1

d = 106.41 m

Step-by-step explanation:

Given that,

Initial speed of the car, u = 60 mph = 26.9 m/s

The deceleration in the car, a = -3.4 m/s²

The average reaction time, t = 0.218 m/s

It finally stops, final velocity, v = 0

We need to find the distance covered by the car as it come to a stop.

Using third equation of motion to find.

`v^2-u^2=2ad\\\\d=(v^2-u^2)/(2a)\\\\d=(0^2-26.9^2)/(2* (-3.4))\\\\d=106.41 m`

So, the car will cover 106.41 m as it comes to a stop.