### Stopping Distance Calculator:

The calculator determines the stopping distance from the moment the driver detects the danger, as well as other parameters related to this phenomenon, including human perception and reaction time and distance, deceleration, braking time and distance and other values.

The calculator can also determine the skid speed from the known braking distance taking into account the road conditions.

### Stopping Distance Calculator Formula

Stopping Distance Calculator Formula has been written as,

stopping distance s_{(m) } in meter is equal to the product of the perception reaction time t_{(s) }in second is multiply by the speed of the car v_{(km/h)} in kilometer per hours is divided by the coefficient of friction and grade of the road. Hence the stopping distance calculator formula has been written as,

s_{(m)} = ( 0.278 * t_{(s)} * v_{(km/h)} ) + v_{(km/h)} ^{2 }/ ( 254 * (f + G))

where,

f is the coefficient of friction between the tires and the road.it is equal to 0.7 for a dry road and ranges from 0.3 to 0.4 on a wet road.

S is the stopping distance in m

T is the perception reaction time sec

V is the speed of the car in km/h

G is the grade of the road. It is positive for an uphill grade and negative for a road going downhill.

### Examples :

### Example 1:

A car is moving with a velocity of 40 m/s on a dry road and suddenly applies brakes.if the perception reaction time is 5 seconds,grade is 0.1% and find the stopping distance.

### Solution :

velocity of car = 40 m/s

perception – reaction time t = 5 sec

coefficient of friction f = 0.7

grade G = 0.1%

stopping distance s = ( 0.278 * t * v ) + v^{2} / (254 * ( f + G)

s = (0.278 * 5 * 40 ) + 40^{2} / (254 * ( 0.7 + 0.1 ))

s =( 55.6) + 1600 / 203.2

s = 63.47

therefore , the car stopping distance is 63.47 m.

### Example 2:

A car is moving with a velocity of 30 m/s on a dry road and suddenly applies brakes.if the perception reaction time is 6 seconds,grade is 0.1% and find the stopping distance.

### Solution :

velocity of car = 30 m/s

perception – reaction time t = 6 sec

coefficient of friction f = 0.7

grade G = 0.1%

stopping distance s = ( 0.278 * t * v ) + v^{2} / (254 * ( f + G)

s = (0.278 * 6 * 30 ) + 30^{2} / (254 * ( 0.7 + 0.1 ))

s =(41.7) + 900 / 203.2

s = 46.12

therefore , the car stopping distance is 46.12 m.