The following distance-time graph represents Ibrahim's journey from home to school one morning. Calculate how fast, in m / s , was Ibrahim travelling during the first 10 minutes?

Given: The distance-time graph represents Ibrahim's journey home to school one morning. Scale x - axis 1 c m = 10 minutes y - axis 1 cm = 1000 m From the graph, we can say that during the first 10 minutes, total distance travelled is 1200 m . speed = 1200 10 × 60 = 2 m / s

The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of 10 m/s. Calculate the rate at which the car is slowing down during the first three seconds.

Given: The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of 10 m / s . Scale: x - a x i s 1 cm = 1 seconds y - a x i s 1 cm = 2 m / s The rate at which the car is slowing down during the first three seconds = 5 - 10 3 - 0 = - 1 . 66 m / s 2

The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of 10 m/s. Calculate the distance travelled during the 10 second period shown on the graph.

Given: The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of 10 m / s . Scale: x - a x i s 1 cm = 1 seconds y - a x i s 1 cm = 2 m / s Distance travelled = area under the graph = area 1 + area 2 + area 3 = ( 1 2 × 3 × 6 ) + ( 4 × 3 ) + ( 1 2 × 7 × 4 ) = 9 + 12 + 14 = 35 m Thus, the total distance travelled is 35 m . Enable Ginger Cannot connect to Ginger Check your internet connection or reload the browser Disable in this text field Rephrase Rephrase current sentence Edit in Ginger ×

The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of 10 m/s. Calculate the average speed of the car for this 10 second period.

Given: The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of 10 m / s . Scale: x - a x i s 1 cm = 1 seconds y - a x i s 1 cm = 2 m / s average speed = area under the curve total time Area under the curve = area 1 + area 2 + area 3 = ( 1 2 × 3 × 6 ) + ( 4 × 3 ) + ( 1 2 × 7 × 4 ) = 9 + 12 + 14 = 35 m average speed = 35 10 = 3 . 5 m / s

The diagrams below is the speed-time graph for a car journey. Calculate the acceleration during the first 20 seconds of the journey.

Given: The diagram below is the speed-time graph for a car journey. acceleration = change in velocity time taken acceleration = 20 - 0 20 - 0 = 1 m / s 2 Thus, the acceleration in the first 20 seconds is 1 m / s 2

The diagram below is the speed-time graph for a car journey. Calculate the acceleration during the last 10 seconds of the journey.

Given: The diagram below is the speed-time graph for a car journey. acceleration = change in velocity time taken acceleration = 0 - 20 60 - 50 = - 2 m / s 2 Thus, the acceleration in the last 10 seconds is - 2 m / s 2 .

The diagram below is the speed-time graph for a car journey. Calculate the average speed for the whole journey.

Given: The diagram below is the speed-time graph for a car journey. Distance travelled=area under the velocity-time graph = area 1 + area 2 + area 3 = ( 1 2 × 20 × 20 ) + ( 30 × 20 ) + ( 1 2 × 10 × 20 ) = 200 + 600 + 100 = 900 m Average speed = total distance time taken Average speed = 900 60 = 15 m / s

Karen Morrison and Nick Hamshaw Solutions for Exercise 8: Exercise 21.8

Author:Karen Morrison & Nick Hamshaw

Karen Morrison Mathematics Solutions for Exercise - Karen Morrison and Nick Hamshaw Solutions for Exercise 8: Exercise 21.8

Attempt the practice questions from Exercise 8: Exercise 21.8 with hints and solutions to strengthen your understanding. Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition solutions are prepared by Experienced Embibe Experts.

Questions from Karen Morrison and Nick Hamshaw Solutions for Exercise 8: Exercise 21.8 with Hints & Solutions

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 21 - Ratio, Rate and Proportion>Exercise 21.8>Q 1

The following distance-time graph represents Ibrahim's journey from home to school one morning.

Question Image

Write how far was Ibrahim from home at $8.30$ hours?

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 21 - Ratio, Rate and Proportion>Exercise 21.8>Q 1

The following distance-time graph represents Ibrahim's journey from home to school one morning.

Question Image

Calculate how fast, in $m / s$ , was Ibrahim travelling during the first $10$ minutes?

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 21 - Ratio, Rate and Proportion>Exercise 21.8>Q 2

The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of $10$ m/s.

Question Image

Calculate the rate at which the car is slowing down during the first three seconds.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 21 - Ratio, Rate and Proportion>Exercise 21.8>Q 2

The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of $10$ m/s.

Question Image

Calculate the distance travelled during the $10$ second period shown on the graph.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 21 - Ratio, Rate and Proportion>Exercise 21.8>Q 2

The graph below shows the speed, in m/s, of a car as it comes to rest from a speed of $10$ m/s.

Question Image

Calculate the average speed of the car for this $10$ second period.

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 21 - Ratio, Rate and Proportion>Exercise 21.8>Q 3

The diagrams below is the speed-time graph for a car journey.

Question Image

Calculate the acceleration during the first 20 seconds of the journey.

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 21 - Ratio, Rate and Proportion>Exercise 21.8>Q 3

The diagram below is the speed-time graph for a car journey.

Question Image

Calculate the acceleration during the last $10$ seconds of the journey.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 21 - Ratio, Rate and Proportion>Exercise 21.8>Q 3

The diagram below is the speed-time graph for a car journey.

Question Image

Calculate the average speed for the whole journey.

Karen Morrison and Nick Hamshaw Solutions for Exercise 8: Exercise 21.8

Karen Morrison Mathematics Solutions for Exercise - Karen Morrison and Nick Hamshaw Solutions for Exercise 8: Exercise 21.8

Questions from Karen Morrison and Nick Hamshaw Solutions for Exercise 8: Exercise 21.8 with Hints & Solutions

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