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Question
What can you say about the motion of a body if:
its velocity-time graph is a straight line ?
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Solution
The body has a uniform acceleration if its velocity-time graph is a straight line. If the straight line is parallel to the time axis then the magnitude of uniform acceleration is zero.
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RELATED QUESTIONS
A body with an initial velocity x moves with a uniform acceleration y. Plot its velocity-time graph.
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(i) What type of motion is represented by OA ?
(ii) What type of motion is represented by AB ?
(iii) What type of motion is represented by BC ?
(iv) What is the acceleration of car from O to A ?
(v)What is the acceleration of car from A to B ?
(vi) What is the retardation of car from B to C ?
Multiple choice Question. Select the correct option.
A graph is a straight line parallel to the time axis in a distance-time graph. From the graph, it implies:
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Draw the following graph:
Distance versus time for a body at rest.
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Given below are the speed -time graphs. Match them with their corresponding motions :
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(a) Uniformity retared motion |
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(b) Non-uniformity acceleration |
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(c) Non-uniform motion |
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(d) uniform motion |

(i) In speed time graph uniform motion is given by a straight line parallel to x axis so figure (a) denotes the uniform motion.
(ii) In speed time graph motion with increasing speed is shown by straight line with positive slope so figure (c) denotes the motion with speed increasing.
(iii) In speed time graph motion with decreasing speed is shown by straight line with negative slope so figure (b) denotes the motion with speed decreasing.
(iv) In speed time graph motion with oscillating speed is shown by zigzag line so figure {d) denotes the motion with speed oscillating.
State whether true or false. If false, correct the statement.
The velocity – time graph of a particle falling freely under gravity would be a straight line parallel to the x axis.
The given graph shows the variation of velocity (v) with position (x) for a particle moving along a straight line

Which of the following graph shows the variation of acceleration (a) with position (x)?




