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Understanding Graphs and Basics of Distance-Time Graphs

Q: Four cars A, B, C and D are moving on a leveled road. Their distance versus time graphs are shown in the given figure. Choose the correct statement

The slope of distance vs time graphs represent speed. B has the minimum slope and hence the minimum speed.

Q: When a graph between two physical quantities is a straight line, the two quantities are

As we know the equation of a straight line is \$Y=mX+C\$Let us assume \$X\$ and \$Y\$ are two different physical quantity and C is any constant. and the graph between them is straight line. According to above equation, \$Y\propto X\$Hence, \$X\$ and \$Y\$ are Directly proportional.Option C

Q: In distance-time graph, which of the following is plotted on the y-axis?

In the distance-time graph, time is plotted on the x-axis, and distance is plotted on the y-axis as distance depends on time.

Q: What are the uses of distance time graph?

The uses of distance – time graphs are :1. The nature of motion is given at a glance.2. The relative motion at various intervals can.3. The region of acceleration or retardation can be estimated without any calculation.4. The distance of moving body at any time unit can be calculated.

Q: Which of the following distance-time graphs shows a truck moving with speed which is not constant ?

\$(i)\$ In a \$distance- time\$ graph, the constant speed of a truck will be represented by a straight line.\$(ii)\$ In a \$distance- time\$ graph, a straight parallel to the time axis indicates that the truck is not moving.\$(iii)\$ A curved line on the \$distance- time\$ graph indicates that the truck is moving with a speed which is not constant.\$(iv)\$ In a \$distance- time\$ graph, the constant speed of a truck will be represented by a straight line.Hence, option \$c\$ is correct answer.

Q: What is a position-time graph?

A graph drawn by taking time along the x-axis and displacement along the y-axis is called a position-time graph.

Q: Which of the following graphs represents the movement of a car that is slowing down and comes to a complete stop?

Slope of the distance-time graph gives the instantaneous speed of the body. For the car to be slowing down with time, the slope of the graph must continuously decrease and finally becomes zero so as the car to stop. Thus, distance-time graph shown in option D is the correct answer.

Q: In which of the following graphs, The speed of the body is zero?

Option DAccording to given question, Speed of a body is zero. It means that position of body is not change with respect to time. In options A, B, and C: The distance of an object is increasing with respect to time. Hence Object is in motion. Therefore given body will have some velocity in given time range.In option D: The distance of a body is not changing with respect to time hence this body will be at rest and its velocity will be zero in the given time range.

Physics

definition

Pie Graph

Pie chart gives the clear idea about maximum and minimum quantity of things which are under consideration For example the given pie chart gives the distribution of type of land present in a particular area on the basis of quality of soil.And it is easily visible that maximum availability is of cropland that is 43 %.

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Introduction to Distance-time graph

Draw two perpendicular lines to represent the two axes and mark them as OX and OY as in Fig.
Decide the quantity to be show along the x-axis and that to be shown along the y-axis. In this case time is along the x-axis and the distance along the y-axis.
Choose a scale to represent the distance and another to represent the time on the graph. For the motion of the car scales could be Time: 1 min = 1 cm and Distance: 1 km = 1 cm.
Mark values for the time and the distance on the respective axes.
Now you have to mark the points on the graph paper to represent each set of values for distance and time. The set of points on the graph corresponding to positions of the car at various times.
Join all the points on the graph as shown in Fig. It is a straight line. This is the distance-time graph for the motion of the car.
If the distance-time graph is a straight line, it indicates that the object is moving with a constant speed.

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Basic knowledge of Distance - Time graph

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Basic Knowledge of Distance - Time Graph

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Important Questions

Four cars A, B, C and D are moving on a leveled road. Their distance versus time graphs are shown in the given figure. Choose the correct statement

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Assertion

Position-time graph of a stationary object is a straight line parallel to time axis.

Reason

For a stationary object, position does not change with time.

Position-time graph of a stationary object is a straight line parallel to time axis.

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When a graph between two physical quantities is a straight line, the two quantities are

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Which of the following distance-time graphs shows a truck moving with speed which is not constant ?

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What is a position-time graph?

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Which of the following graphs represents the movement of a car that is slowing down and comes to a complete stop?

Medium

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In which of the following graphs, The speed of the body is zero?

Easy

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definition

Pie Graph

definition

Introduction to Distance-time graph

Quick Summary With Stories

Basic Knowledge of Distance - Time Graph

Four cars A, B, C and D are moving on a leveled road. Their distance versus time graphs are shown in the given figure. Choose the correct statement

Position-time graph of a stationary object is a straight line parallel to time axis.

For a stationary object, position does not change with time.

Position-time graph of a stationary object is a straight line parallel to time axis.

When a graph between two physical quantities is a straight line, the two quantities are

Which of the following distance-time graphs is possible?

In distance-time graph, which of the following is plotted on the y-axis?

What are the uses of distance time graph?

Which of the following distance-time graphs shows a truck moving with speed which is not constant ?

What is a position-time graph?

Which of the following graphs represents the movement of a car that is slowing down and comes to a complete stop?

In which of the following graphs, The speed of the body is zero?