How do you calculate the braking distance?

driver reaction time=0.6s
initial speed of car=30ms-1

speed*2= distance*4

Please show all the steps and the equations you used in words

the question states initial speed*2 is equal to distance*4

If you need thinking distance it is stated to be 18m

i didnt get it

To calculate the braking distance, we need to consider the driver's reaction time and the initial speed of the car.

First, we need to calculate the time it takes for the driver to react. In this case, the given reaction time is 0.6 seconds.

Next, we need to determine the change in speed during the reaction time. Since the initial speed of the car is given as 30 m/s, we can use the equation:

Change in speed = (final speed) - (initial speed)

As the car is braking, the final speed will be 0 m/s (since we are considering it coming to a complete stop). Therefore, the change in speed is:

Change in speed = 0 m/s - 30 m/s = -30 m/s (negative because the car is decelerating)

Now, we can calculate the distance covered during the reaction time. To do this, we use the equation:

Distance = Initial speed * Time

Using the given values:

Distance = 30 m/s * 0.6 s = 18 meters

Next, we calculate the braking distance after the driver's reaction time has passed. The given information states that speed*2 = distance*4. Since the final speed is 0 m/s, we can set up the equation:

0 m/s * 2 = (Braking distance - 18 m) * 4

Simplifying the equation:

0 = (Braking distance - 18 m) * 4

Dividing both sides of the equation by 4:

0 = Braking distance - 18 m

Braking distance = 18 meters

Therefore, the total braking distance is equal to the distance during the driver's reaction time (18 meters) plus the distance after the reaction time (also 18 meters). So, the total braking distance is 36 meters.