Graphical Representation of Motion

IMPORTANT

Graphical Representation of Motion: Overview

This topic covers concepts such as Graphical Representation of Motion, Distance-time Graphs, Slope of Distance-time Graphs, Velocity-time Graphs, Area under Velocity-time Graphs, and Slope of Velocity-time Graphs.

Important Questions on Graphical Representation of Motion

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Following graph represent a body moving with constant velocity.

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Negative slope of a v-t graph signifies _____.( acceleration/ retardation)

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Area enclosed by a velocity-time curve gives _____ of the body.

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v-t graph for uniform velocity is _____to time axis.

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Plot a distance-time graph for the following data and state the type of motion.

Time s 0 2 4 6 8 10 12
Position m 0 4 8 12 16 20 24

 

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Draw a velocity-time graph to represent uniform motion.

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What does area under a velocity-time graph signify?

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The distance time graph is a straight line parallel to X-axis. What type of motion is shown here?

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What will the v-t curve for a car parked on roadside look like?

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Draw a velocity time graph for an object in uniform motion. Show that the slope of velocity-time gives acceleration of the object.

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An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants Time

Time s 0 1 2 3 4 5 6
Velocity m s-1 2 4 6 8 10 12 14

Plot the graph. From the graph, calculate the distance covered in the last 4 s.

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An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants Time

Time s 0 1 2 3 4 5 6
Velocity m s-1 2 4 6 8 10 12 14

Plot the graph. From the graph, calculate the acceleration.

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An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instant's time

Time s 0 1 2 3 4 5 6
Velocity m s-1 2 4 6 8 10 12 14

Plot the graph. From the graph, find the velocity of the object at the end of 2.5 s.

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The following table shows the data about motion of a car.

Time h 11.00 11.30 12.00 12.30 1.00
Distance km 0 30 30 65 100

Plot the graph. Is the car's motion an example of uniform motion? Justify.

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The following table shows the data about motion of a car.

Time h 11.00 11.30 12.00 12.30 1.00
Distance km 0 30 30 65 100

Plot the graph. Find the speed of the car between12.00 hours and 12.30 hours. 

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The velocity-time graph of a particle of mass 50 g moving in a definite direction is shown in the following figure. Answer the question based on this figure.

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Calculate the distance travelled in 4 s.

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The velocity-time graph of a particle of mass 50 g moving in a definite direction is shown in the following figure. Answer the question based on this figure.

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What is the velocity of the particle at point 'A'?

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Using following data, draw displacement-time graph for a moving object :

Time (s) 0 2 4 6 8 10 12 14 16
Displacement (m) 0 2 4 6 4 6 4 2 0

Use this graph to find average velocity for first 4 s, for next 4 s and for last 6 s.

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Name the physical quantities denoted by slope of velocity-time graph.

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Name the physical quantities denoted by area under velocity time graph.