High School

Braking Distance : The distance that a car travels between the time the driver makes the decision to hit the brakes and the time the car actually stops is called the braking distance. For a certain car traveling v , the braking distance d is given by d = v + 1/ 20 v². (i) Find the braking distance when v is 50 km/h.

Answer :

Final answer:

The braking distance for a car traveling at 50 km/h is 250 meters.

Explanation:

To find the braking distance (d) when the car is traveling at 50 km/h, you can use the given formula:

d = v + (1/20) * v² where v is the initial velocity in km/h.

The braking distance for a car traveling at a velocity v is given by the equation d = v + 1/20 v^2.

To find the braking distance when v is 50 km/h, we substitute the value of v into the equation:

d = 50 + 1/20 (50) ^2.

After simplifying the equation, the braking distance is found to be 250 meters.

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