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Which line is not parallel to the graph of y 2x 1?
Any line which has a gradient which is not 2 will not be parallel to the line y = 2x + 1.
What is a distance versus time graph?
A graph that shows how an object has moved relative to the starting point at a given time. The gradient of the graph at any point gives the velocity of the object at that time. Normally it is assumed that the object is moving in one dimensions (along a line), in which case the line can head back towards zero (the object is heading back towards its starting point) and the graph gives the location of the object along the line - every distance is a unique point along the line. It can also show total distance moved, in which case the line along which the object is travelling is embedded in a higher dimension (eg a 2-dimensional plane, or the 3-dimensional space we live in) and is able to wiggle about and so go back to the starting point (in that higher dimension) at more than one point on the line; unless the object "reverses", the line is unlikely to head back towards zero - such a graph could be used to show total distance travelled in driving a vehicle from one point to another (eg when considering how far the tyres of a vehicle have travelled which ignores whether the wheels are turning forwards or backwards). In this case the gradient would be considered as the speed of the object (as the direction [in the higher space] is unknown).
How do you work out the gradient of a perpendicular line?
basically the reciprocal of the original lines gradient is going to be the gradient for the perpendicular line (remember the signs should switch). For example if i had a line with the gradient of 3, then the gradient of the perpendicular line will be -1over3. But if the line had the gradient of -3, then the line perpendicular to that line will have the gradient 1over3.
Does a vertical line on a distance time graph indicate that an object is stationary?
Object will change distance time graph when speed is changing. Distance time graph don't changed indicate of the stationary.
Is distance time graph for acceleration always a straight line?
no because it is possible the object moving make go backwards so the the line will go into the negatives on the graph
How can you find the instantaneous acceleration of an object whose curve on the velocity time graph is a straight line?
It is the gradient (slope) of the line.
What is the steepness on a line graph called?
The steepness of a line graph is called the "gradient" ------------------------------- or slope.
What are the nature of the distance time graphs for uniform and non unifrm motion of an object?
A distance-time graph for an object moving at a constant velocity will be a straight line - the gradient of the line corresponds to the velocity. Non-uniform motion will cause the gradient of the line to change.
What feature of a distance per time graph represents speed?
The gradient (slope) of the tangent to the graph at the given time - provided that it exists. If the graph is a straight line at that point, it is the gradient of that line.
What feature of a distance time graph represent speed?
The gradient (slope) of the line on the graph.
What is the steepness of a line graph called?
It is sometimes called the gradient.
If a straight line graph has a gradient of zero it must be horizontal?
120?
What can you say about the motion of an object whose distance time graph is a straight line parallel to time axis?
The object is stationary as its velocity is zero. The velocity of an object is the gradient of its distance-time graph and as the graph is a horizontal straight line, its gradient is zero. The object is stationary also as its distance from the time axis is not increasing.
How to calculate the gradient from the non linear graph?
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
What graph graph indicates that there is a linear relationship between the dependent variable and the independent variable?
a graph of the independent variable and dependant that shows a graph with a fixed gradient (I.E a line graph) The equation of the graph will be given by y = mx +c where m is the gradient and c is a constant
What is the gradient of acceleration time graph?
The gradient of an acceleration-time graph represents the rate at which the acceleration is changing over time. If the gradient is positive, it indicates an increase in acceleration, while a negative gradient indicates a decrease in acceleration. A horizontal line on the graph would represent a constant acceleration, where the gradient is zero.
How do you find the gradient of a line from a graph?
Select two points on the graph and suppose their coordinates are (x1, y1) and (x2, y2) then the gradient = (y1 - y2) / (x1 - x2) provided that x1 and x2 are different. If not, the gradient is not defined.
