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stopping distance

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stopping distance
Stopping Distance and
Reaction Time

20 m s

-1

A

B
O

positive direction

40 m

The driver in the car B sees the man A 40 m away at time t = 0.
The velocity of the car changes according to the graph below.

V / m s-1
40
30
20
10
0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

4.0

4.5

5.0

5.5

t/s

V / m s-1
40
30
20
10
0

0.5

1.0

1.5

2.0

2.5

3.0

Will the car B collide with the man A ?

3.5

4.0

4.5

5.0

5.5

t/s

V / m s-1
40

Area = 10 m. It is the distance travelled by the car when the driver is thinking.
This is known as thinking distance.

30
20
10
0

0.5

1.0

1.5

Reaction Time =0.5 s

2.0

2.5

3.0

3.5

4.0

4.5

5.0

5.5

From t = 0 s to t = 0.5 s , the driver is thinking what to do. He does not apply the brakes during this period.

t/s

V / m s-1
40

Area = 10 m. It is the distance travelled by the car when the driver is thinking.
This is known as thinking distance.

30
20
10
0

0.5

1.0

1.5

2.0

2.5

20 m s-1

3.0

3.5

4.0

4.5

5.0

5.5

t/s

A

B
O

positive direction

10 m
40 m

V / m s-1
40
30

Area = 25 m. It is the distance travelled by the car during braking. This is known as braking distance.

20
10
0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

4.0

4.5

5.0

Braking Time = 2.5 s
From t = 0.5 s to t = 3 s ,the brakes are applied.
The car slows down until it stops at t = 3 s.

5.5

t/s

V / m s-1
40
30

Area = 25 m. It is the distance travelled by the car during braking. This is known as braking distance.

20
10
0

0.5

1.0

1.5

2.0

2.5

3.0

Braking Time = 2.5 s

3.5

4.0

stop

O

4.5

B

5.0

5.5

t/s

A positive direction

10 m

25 m
40 m

stop

B

O

A positive direction

10 m

25 m
40 m

Stopping Distance = Thinking Distance + Braking Distance
= 10 m + 25 m

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