The distance required for a car to come to a stop will vary depending on how fast the car is moving. Suppose that a certain car traveling down the road at a speed of 20 m / s 20 m/s can come to a complete stop within a distance of 80 m 80 m . Assuming the road conditions remain the same, what would be the stopping distance required for the same car if it were moving at speeds of 10 m / s 10 m/s , 40 m / s 40 m/s , or 5 m / s 5 m/s ?

Explanation:

If F be the force acting on the car to stop it

work done by force = change in kinetic energy

F X 80 = 1/2 m x 20²

F = 2.5 m

If speed is 10m/s

for distance d , the equation is

F x d = 1/2 x m x 10²

2.5 m x d = 1/2 x m x 10²

d = 20 m

If velocity is 40 m /s

F x d = 1/2 x m x 40²

2.5m x d = 1/2 m x 1600

d = 320 m

For v = 5 m/s

F x d = 1/2 m x 5²

2.5 m x d = 1/2 m x 5²

d = 5 m .

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