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bus cartoon

 

cartoon dog

These questions are all about the time it takes a vehicle to brake in an emergency. In this example a dog has run into the road, and the driver needs to stop suddenly.

 

1. Which of these graphs best shows the velocity of the bus from the moment the driver first sees the dog?

v-t graphs x4 for stopping distances

2. The driver will take some time to react. A reasonable estimate of human reaction time is:

  • A. 0.03 s
  • B. 0.3 s
  • C. 1 s
  • D. 2 s

3. Which of these correctly states the formula for working out the distance travelled before stopping?

  • A. Total stopping distance = thinking distance × braking distance
  • B. Total stopping distance = thinking distance - braking distance
  • C. Total stopping distance = thinking distance + braking distance
  • D. Total stopping distance = thinking distance ÷ braking distance

4-8: Here is a graph showing the buses' velocity when doing an emergency stop:

stopping distance v-t graph

Use this graph for the following questions:

 

4. How do you find the stopping distance of this vehicle?

  • A. Use the formula : Maximum speed x time to stop.
  • B. Calculate the area under the line.
  • C. Read the total time taken to stop from the graph.
  • D. Find the gradient of the line.

5. What was the 'thinking distance' of this vehicle? (The distance travelled whilst the driver reacts).

  • A. 12 m
  • B. 24 m
  • C. 36 m
  • D. 48 m

6. What was the 'braking distance' of this vehicle? (The distance travelled whilst the driver is braking).

  • A. 12 m
  • B. 24 m
  • C. 36 m
  • D. 48 m

7. What was the 'total stopping distance' of this vehicle?

  • A. 12 m
  • B. 24 m
  • C. 36 m
  • D. 48 m

8. What was the deceleration of the vehicle in the last 2 seconds?

  • A. 12 m/s2
  • B. 24 m/s2
  • C. 3 m/s2
  • D. 6 m/s2

9. This driver took some time to react. This may be due to

  • A. the condition of the brakes.
  • B. the driver having drunk alcohol.
  • C. the high speed of the vehicle.
  • D. the high mass of the vehicle.
10. Which of these would NOT affect the braking distance of a truck? truck
  • A. Water on the road.
  • B. The speed of the truck.
  • C. The driver taking drugs such as cough mixtures.
  • D. The condition of the tyres.
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Question 1:

Shape of the graph:

  1. First part (reaction time / thinking distance) –
    horizontal straight line at constant velocity.

    • The driver sees the dog but hasn't yet applied the brakes.

    • Speed remains constant during the reaction time (typically 0.5–1.0 seconds).

  2. Second part (braking phase) –
    straight line sloping downwards to zero velocity.

    • Once brakes are applied, the bus decelerates uniformly (constant deceleration) until it stops.

    • The slope is negative and constant (assuming uniform braking).

    • The line ends on the time axis (velocity = 0) when the bus stops.

Summary:
→ Horizontal line (constant speed)
→ then straight line down to zero (constant deceleration)

This produces a two-part linear graph:

This matches option A.

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 2:

Typical human reaction time


Why 0.3 s is reasonable


Why not the other options?


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 3:

The correct answer is:

C. Total stopping distance = thinking distance + braking distance

Explanation:

The other options (×, –, ÷) do not correctly represent how these two distances combine.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 4:

The correct answer is:

B. Calculate the area under the line.

Explanation:
On a velocity–time graph, the distance travelled is found by calculating the area under the graph.

For this emergency stop:

The other options:


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 5:

Let's calculate the thinking distance from the graph details.

Graph details :

Thinking distance = distance travelled during reaction time (constant speed)

Thinking distance=speed×reaction time

Thinking distance=12 m/s×2 s=24 m

The correct answer is B. 24 m.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 6:

Braking distance = area under the velocity–time graph during braking only (triangle)

For a triangle:

Area=½×base×height

Here:

Braking distance=½×2×12=12 m

The correct answer is A. 12 m.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 7:

We already calculated:

Total stopping distance = thinking distance + braking distance

24+12=36 m

The correct answer is C. 36 m.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 8:

We can calculate deceleration (negative acceleration) during the braking phase.

Given:

a=(v−u)/t

a=(0−12)/2=−12/2=−6 m/s2 (negative acceleration because it is decelerating).

The deceleration (magnitude) is 6 m/s².

The correct answer is D. 6 m/s².


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Our use of A.I. is environmentally friendly!
We do an A.I. search for each question, then store the response to that question on our server. No need to do multiple searches! Repeating the same A.I. request would have a much bigger carbon footprint.

Question 9:

The correct answer is B. the driver having drunk alcohol.

Explanation:
Reaction time is affected by the driver's physical and mental state, including:

The other options affect braking distance, not reaction time:


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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A.I. response
Our use of A.I. is environmentally friendly!
We do an A.I. search for each question, then store the response to that question on our server. No need to do multiple searches! Repeating the same A.I. request would have a much bigger carbon footprint.

Question 10:

The correct answer is:

C. The driver taking drugs such as cough mixtures.

Explanation:
Braking distance is affected by factors that influence how effectively the vehicle can decelerate once the brakes are applied.

C. The driver taking drugs → affects reaction time (thinking distance), not braking distance. Once the brakes are applied, the vehicle's deceleration depends on mechanical and road factors, not the driver's state.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.