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Momentum before and after collision


This page shows two objects moving towards each other, and the result of their collision. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. This event is depicted in two stages, the first stage at the top of the page, and the second at the bottom. Each diagram has a dashed line image border. Arrows indicate the direction of movement of the objects and labels indicate their speed in metres per second. Labels directly down the page from each object indicate their weight in kilos.Before: two objects moving towards each other. In the diagram at the top, two blocks are shown: the one on the left, with a right-pointing arrow up from it, is twice as wide as the one on the right, which has a left pointing arrow. The blocks are moving along a horizontal surface that runs across the width of the page. After: objects colliding and moving off together. In the bottom diagram, the two blocks have collided with each other at the centre of the page. They are now in contact and moving right, indicated by the arrow up the page, along the horizontal surface that runs across the width of the page.

Momentum before and after collision


This page shows two objects moving towards each other, and the result of their collision. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. This event is depicted in two stages, the first stage at the top of the page, and the second at the bottom. Each diagram has a dashed line image border. Arrows indicate the direction of movement of the objects and labels indicate their speed in metres per second. Labels directly down the page from each object indicate their weight in kilos.Before: two objects moving towards each other. In the diagram at the top, two blocks are shown: the one on the left, with a right-pointing arrow up from it, is twice as wide as the one on the right, which has a left pointing arrow. The blocks are moving along a horizontal surface that runs across the width of the page. After: objects colliding and moving off together. In the bottom diagram, the two blocks have collided with each other at the centre of the page. They are now in contact and moving right, indicated by the arrow up the page, along the horizontal surface that runs across the width of the page.

Momentum before and after collision (Large Print)

by Rnib Bookshare

This page shows two objects moving towards each other, and the result of their collision. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. This event is depicted in two stages, the first stage at the top of the page, and the second at the bottom. Each diagram has a dashed line image border. Arrows indicate the direction of movement of the objects and labels indicate their speed in metres per second. Labels directly down the page from each object indicate their weight in kilos.Before: two objects moving towards each other. In the diagram at the top, two blocks are shown: the one on the left, with a right-pointing arrow up from it, is twice as wide as the one on the right, which has a left pointing arrow. The blocks are moving along a horizontal surface that runs across the width of the page. After: objects colliding and moving off together. In the bottom diagram, the two blocks have collided with each other at the centre of the page. They are now in contact and moving right, indicated by the arrow up the page, along the horizontal surface that runs across the width of the page.

Velocity-time graph


On this page there is a graph showing velocity plotted against time. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. The y-axis (velocity) is a line that extends vertically down the left-hand side of the page. Three-quarters of the way down the page, it meets the line of the x-axis (time) at a point marked with a zero (the origin). The x-axis extends horizontally across the page. A thick dashed line, which starts at the origin and goes up and down the page to the right, indicates various stages of velocity against time. Leader lines point from the plotted line to labels indicating these stages of travel.

Velocity-time graph


On this page there is a graph showing velocity plotted against time. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. The y-axis (velocity) is a line that extends vertically down the left-hand side of the page. Three-quarters of the way down the page, it meets the line of the x-axis (time) at a point marked with a zero (the origin). The x-axis extends horizontally across the page. A thick dashed line, which starts at the origin and goes up and down the page to the right, indicates various stages of velocity against time. Leader lines point from the plotted line to labels indicating these stages of travel.

Velocity-time graph


On this page there is a graph showing velocity plotted against time. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. The y-axis (velocity) is a line that extends vertically down the left-hand side of the page. Three-quarters of the way down the page, it meets the line of the x-axis (time) at a point marked with a zero (the origin). The x-axis extends horizontally across the page. A thick dashed line, which starts at the origin and goes up and down the page to the right, indicates various stages of velocity against time. Leader lines point from the plotted line to labels indicating these stages of travel.

Distance-time graph


This page shows a graph of distance plotted against time. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. A background grid of light vertical and horizontal lines covers most of the page. To the far left is a vertical scale, the y-axis, which is marked in divisions of 50 metres going up the page from 0 to 400. At the bottom of the page is a horizontal scale, the x-axis, which is divided into intervals of ten seconds going from 0 on the left to 70 on the right of the page. There is a heavy line starting at the bottom left of the grid where zero is marked that slopes up to the right. It is horizontal between 30 and 50 seconds and then slopes up again. To the far right of the page is a vertical line showing distance travelled and below this, to the left, is a line showing time taken for this section of the graph line. Up and to the left of centre of the page there is the equation: speed = y/x. In the equation 'x' refers to the time (on the x-axis, going left to right) taken to travel a distance and 'y' (on the y-axis, going bottom to top) to the distance travelled in that time.

Distance-time graph


This page shows a graph of distance plotted against time. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. A background grid of light vertical and horizontal lines covers most of the page. To the far left is a vertical scale, the y-axis, which is marked in divisions of 50 metres going up the page from 0 to 400. At the bottom of the page is a horizontal scale, the x-axis, which is divided into intervals of ten seconds going from 0 on the left to 70 on the right of the page. There is a heavy line starting at the bottom left of the grid where zero is marked that slopes up to the right. It is horizontal between 30 and 50 seconds and then slopes up again. To the far right of the page is a vertical line showing distance travelled and below this, to the left, is a line showing time taken for this section of the graph line. Up and to the left of centre of the page there is the equation: speed = y/x. In the equation 'x' refers to the time (on the x-axis, going left to right) taken to travel a distance and 'y' (on the y-axis, going bottom to top) to the distance travelled in that time.

Distance-time graph (Large Print)

by Rnib Bookshare

This page shows a graph of distance plotted against time. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. A background grid of light vertical and horizontal lines covers most of the page. To the far left is a vertical scale, the y-axis, which is marked in divisions of 50 metres going up the page from 0 to 400. At the bottom of the page is a horizontal scale, the x-axis, which is divided into intervals of ten seconds going from 0 on the left to 70 on the right of the page. There is a heavy line starting at the bottom left of the grid where zero is marked that slopes up to the right. It is horizontal between 30 and 50 seconds and then slopes up again. To the far right of the page is a vertical line showing distance travelled and below this, to the left, is a line showing time taken for this section of the graph line. Up and to the left of centre of the page there is the equation: speed = y/x. In the equation 'x' refers to the time (on the x-axis, going left to right) taken to travel a distance and 'y' (on the y-axis, going bottom to top) to the distance travelled in that time.

Resultant and balanced forces (UEB uncontracted)

by Rnib Bookshare

This page shows three diagrams separated by two light vertical dashed lines. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. The top diagrams show separate forces acting on three objects. The bottom diagrams show the resultant force (labelled in Newtons) on the same three objects respectively. The diagram on the left shows a block shape at the top of the page with two arrows in a line pointing to the right, and another arrow slightly down. At the bottom of the page, the same block is shown with a line of three arrows pointing to the right. The diagram in the centre shows an ellipse shape at the top of the page with two arrows pointing up and two in a line pointing down. The same ellipse is shown at the bottom of the page with no arrows. The diagram to the right shows a block shape at the top of the page with two arrows in a line pointing to the left and one pointing to the right. The same block is shown at the bottom of the page with one arrow pointing to the left.

Resultant and balanced forces (UEB contracted)

by Rnib Bookshare

This page shows three diagrams separated by two light vertical dashed lines. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. The top diagrams show separate forces acting on three objects. The bottom diagrams show the resultant force (labelled in Newtons) on the same three objects respectively. The diagram on the left shows a block shape at the top of the page with two arrows in a line pointing to the right, and another arrow slightly down. At the bottom of the page, the same block is shown with a line of three arrows pointing to the right. The diagram in the centre shows an ellipse shape at the top of the page with two arrows pointing up and two in a line pointing down. The same ellipse is shown at the bottom of the page with no arrows. The diagram to the right shows a block shape at the top of the page with two arrows in a line pointing to the left and one pointing to the right. The same block is shown at the bottom of the page with one arrow pointing to the left.

Resultant and balanced forces (large print)

by Rnib Bookshare

This page shows three diagrams separated by two light vertical dashed lines. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. The top diagrams show separate forces acting on three objects. The bottom diagrams show the resultant force (labelled in Newtons) on the same three objects respectively. The diagram on the left shows a block shape at the top of the page with two arrows in a line pointing to the right, and another arrow slightly down. At the bottom of the page, the same block is shown with a line of three arrows pointing to the right. The diagram in the centre shows an ellipse shape at the top of the page with two arrows pointing up and two in a line pointing down. The same ellipse is shown at the bottom of the page with no arrows. The diagram to the right shows a block shape at the top of the page with two arrows in a line pointing to the left and one pointing to the right. The same block is shown at the bottom of the page with one arrow pointing to the left.

Vectors (UEB uncontracted)

by Rnib Bookshare

This page shows two forces (measured in Newtons) acting upon an object represented by a square and their vector sum. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. Towards the top left of the page the square is shown with an arrow to its left and pointing right, that indicates a force of 3 Newtons acting on it. Down the page, is an upward-pointing arrow indicating a force of 5 Newtons acting on the object. Across the lower half of the page, the forces acting on the object, and their vector sum, are shown in three steps, each labelled across the bottom of the page: Step 1. Represents a force of 5 Newtons, it shows a vertical line with an arrowhead at the top showing its direction. There is a scale marked by six short horizontal lines to its left. Step 2. Represents a force of 3 Newtons, it shows the line as in step 1 and additionally a right-pointing arrow with a scale of four short vertical lines up the page.Step 3. Is the same as step 2 with an additional arrow-headed line pointing up and right diagonally, representing the vector sum of the 5 and 3 Newton forces. Further to right, there is a leader line pointing to an explanatory label.

Vectors (UEB contracted)

by Rnib Bookshare

This page shows two forces (measured in Newtons) acting upon an object represented by a square and their vector sum. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. Towards the top left of the page the square is shown with an arrow to its left and pointing right, that indicates a force of 3 Newtons acting on it. Down the page, is an upward-pointing arrow indicating a force of 5 Newtons acting on the object. Across the lower half of the page, the forces acting on the object, and their vector sum, are shown in three steps, each labelled across the bottom of the page: Step 1. Represents a force of 5 Newtons, it shows a vertical line with an arrowhead at the top showing its direction. There is a scale marked by six short horizontal lines to its left. Step 2. Represents a force of 3 Newtons, it shows the line as in step 1 and additionally a right-pointing arrow with a scale of four short vertical lines up the page.Step 3. Is the same as step 2 with an additional arrow-headed line pointing up and right diagonally, representing the vector sum of the 5 and 3 Newton forces. Further to right, there is a leader line pointing to an explanatory label.

Vectors (large print)

by Rnib Bookshare

This page shows two forces (measured in Newtons) acting upon an object represented by a square and their vector sum. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. Towards the top left of the page the square is shown with an arrow to its left and pointing right, that indicates a force of 3 Newtons acting on it. Down the page, is an upward-pointing arrow indicating a force of 5 Newtons acting on the object. Across the lower half of the page, the forces acting on the object, and their vector sum, are shown in three steps, each labelled across the bottom of the page: Step 1. Represents a force of 5 Newtons, it shows a vertical line with an arrowhead at the top showing its direction. There is a scale marked by six short horizontal lines to its left. Step 2. Represents a force of 3 Newtons, it shows the line as in step 1 and additionally a right-pointing arrow with a scale of four short vertical lines up the page.Step 3. Is the same as step 2 with an additional arrow-headed line pointing up and right diagonally, representing the vector sum of the 5 and 3 Newton forces. Further to right, there is a leader line pointing to an explanatory label.

Tension forces that balance weight (UEB uncontracted)

by Rnib Bookshare

On this page, there are two groups of diagrams showing tension and reaction forces acting upon objects. Each group has a dashed line image border. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. In the left border, there is a ball on a spring (left) and a ball on a piece of foam (right). In the right border is a ball suspended on string (left) and a ball on a floor (right). Diagrams on the left: In the top left of the left hand border is a spiral spring, and slightly right an arrow pointing upwards (tension force). Down the page is a ball and further down a downward-pointing arrow (weight). Towards the top right is an arrow pointing upwards (reaction force). Down the page is a ball and further down a block of foam with a downward-pointing arrow (weight). Diagrams on the right: At the top left of the right hand border is a line going down the page representing a length of string with an upward pointing arrow slightly to the right (tension force). Down the page is a ball and further down is a downward- pointing arrow (weight). Towards the top right is an upward-pointing arrow with a ball down the page from it. Further down is a section of floor with a downward-pointing arrow (reaction force).

Tension forces that balance weight (UEB contracted)

by Rnib Bookshare

On this page, there are two groups of diagrams showing tension and reaction forces acting upon objects. Each group has a dashed line image border. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. In the left border, there is a ball on a spring (left) and a ball on a piece of foam (right). In the right border is a ball suspended on string (left) and a ball on a floor (right). Diagrams on the left: In the top left of the left hand border is a spiral spring, and slightly right an arrow pointing upwards (tension force). Down the page is a ball and further down a downward-pointing arrow (weight). Towards the top right is an arrow pointing upwards (reaction force). Down the page is a ball and further down a block of foam with a downward-pointing arrow (weight). Diagrams on the right: At the top left of the right hand border is a line going down the page representing a length of string with an upward pointing arrow slightly to the right (tension force). Down the page is a ball and further down is a downward- pointing arrow (weight). Towards the top right is an upward-pointing arrow with a ball down the page from it. Further down is a section of floor with a downward-pointing arrow (reaction force).

Tension forces that balance weight (large print)

by Rnib Bookshare

On this page, there are two groups of diagrams showing tension and reaction forces acting upon objects. Each group has a dashed line image border. There is a locator dot shown, which will be at the top left of the page when the image is the right way up. In the left border, there is a ball on a spring (left) and a ball on a piece of foam (right). In the right border is a ball suspended on string (left) and a ball on a floor (right). Diagrams on the left: In the top left of the left hand border is a spiral spring, and slightly right an arrow pointing upwards (tension force). Down the page is a ball and further down a downward-pointing arrow (weight). Towards the top right is an arrow pointing upwards (reaction force). Down the page is a ball and further down a block of foam with a downward-pointing arrow (weight). Diagrams on the right: At the top left of the right hand border is a line going down the page representing a length of string with an upward pointing arrow slightly to the right (tension force). Down the page is a ball and further down is a downward- pointing arrow (weight). Towards the top right is an upward-pointing arrow with a ball down the page from it. Further down is a section of floor with a downward-pointing arrow (reaction force).

Reflection


This diagram shows a triangle reflected on two different mirror lines. A locator dot and title are shown. These must always be at the top left of the page when the image is the right way up. There is a graph with all four quadrants showing, and the x and y axes ranging from -3 to 3. The x and the y axis intersect at the origin O. Positive values are to the right and to the top of the diagram. Negative values are to the left and to the bottom of the diagram. Not all axis division marks are labelled. Some of the braille uses maths code notation. When a shape is reflected it is the same shape but turned over into a new position. The original triangle 1 is in the top left quadrant. Triangle 2 to the right is a reflection in the y-axis. The mirror line is represented by a heavy dashed line which has replaced the normal y axis line in the top part of the diagram. Triangle 3 in the bottom right quadrant, is a reflection in the y = x-axis. This mirror line is also shown as a heavy dashed line. Note the two mirror lines would normally go from one edge of the graph to the other, in this diagram the mirror lines have been shortened to prevent tactile confusion.

Reflection


This diagram shows a triangle reflected on two different mirror lines. A locator dot and title are shown. These must always be at the top left of the page when the image is the right way up. There is a graph with all four quadrants showing, and the x and y axes ranging from -3 to 3. The x and the y axis intersect at the origin O. Positive values are to the right and to the top of the diagram. Negative values are to the left and to the bottom of the diagram. Not all axis division marks are labelled. Some of the braille uses maths code notation. When a shape is reflected it is the same shape but turned over into a new position. The original triangle 1 is in the top left quadrant. Triangle 2 to the right is a reflection in the y-axis. The mirror line is represented by a heavy dashed line which has replaced the normal y axis line in the top part of the diagram. Triangle 3 in the bottom right quadrant, is a reflection in the y = x-axis. This mirror line is also shown as a heavy dashed line. Note the two mirror lines would normally go from one edge of the graph to the other, in this diagram the mirror lines have been shortened to prevent tactile confusion.

Reflection


This diagram shows a triangle reflected on two different mirror lines. A locator dot and title are shown. These must always be at the top left of the page when the image is the right way up. There is a graph with all four quadrants showing, and the x and y axes ranging from -3 to 3. The x and the y axis intersect at the origin O. Positive values are to the right and to the top of the diagram. Negative values are to the left and to the bottom of the diagram. Not all axis division marks are labelled. Some of the braille uses maths code notation. When a shape is reflected it is the same shape but turned over into a new position. The original triangle 1 is in the top left quadrant. Triangle 2 to the right is a reflection in the y-axis. The mirror line is represented by a heavy dashed line which has replaced the normal y axis line in the top part of the diagram. Triangle 3 in the bottom right quadrant, is a reflection in the y = x-axis. This mirror line is also shown as a heavy dashed line. Note the two mirror lines would normally go from one edge of the graph to the other, in this diagram the mirror lines have been shortened to prevent tactile confusion.

Similarity


This diagram consists of two pairs of similar shapes; the two in the middle of the page are similar and the bottom two are also similar. A locator dot and title are shown. These must always be at the top left of the page when the image is the right way up. Similarity is a type of enlargement. The corresponding sides are in the same ratio - the ratio is the scale factor of the enlargement.

Similarity


This diagram consists of two pairs of similar shapes; the two in the middle of the page are similar and the bottom two are also similar. A locator dot and title are shown. These must always be at the top left of the page when the image is the right way up. Similarity is a type of enlargement. The corresponding sides are in the same ratio - the ratio is the scale factor of the enlargement.

Similarity


This diagram consists of two pairs of similar shapes; the two in the middle of the page are similar and the bottom two are also similar. A locator dot and title are shown. These must always be at the top left of the page when the image is the right way up. Similarity is a type of enlargement. The corresponding sides are in the same ratio - the ratio is the scale factor of the enlargement.

Congruency


This diagram consists of two pairs of congruent shapes; two triangles in the middle of the page and two irregular shapes at the bottom of the page. A locator dot and title are shown. These must always be at the top left of the page when the image is the right way up. The top two are congruent - the one on the right is in a mirrored position. The diagram shows how their congruency is proved. The bottom two are also congruent - the one on the right is in a rotated position. When shapes are congruent they are the same size and shape but can be rotated and/or mirrored.

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