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A graph is plotted showing the velocity of a car as a function of time. If the graph is a straight line, it means that
- a)the car started at rest
- b)acceleration was constant
- c)acceleration was increasing
- d)velocity was constant
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A graph is plotted showing the velocity of a car as a function of time...
velocity was constant
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
A graph is plotted showing the velocity of a car as a function of time...
Explanation:
When a graph of velocity versus time is a straight line, it means that the velocity of the car is constant. This can be explained by the following points:
Definition of Velocity:
Velocity is defined as the rate of change of displacement with respect to time. It is a vector quantity, meaning it has both magnitude (speed) and direction.
Graph of Velocity versus Time:
When the velocity of a car is plotted as a function of time, the resulting graph shows how the velocity changes over time. The x-axis represents time, and the y-axis represents velocity.
Constant Velocity:
When the graph of velocity versus time is a straight line, it indicates that the velocity of the car is constant. This means that the car is moving at a steady speed in a particular direction, without any changes in its velocity.
No Acceleration:
Acceleration is the rate of change of velocity with respect to time. In the case of a straight line graph, since the velocity is constant, there is no change in the velocity over time. Therefore, the acceleration is zero.
Alternative Options:
a) The car starting at rest would result in a graph that starts at zero velocity and increases over time. This would not be represented by a straight line.
b) If the acceleration was constant, the graph would show a curved line rather than a straight line.
c) If the acceleration was increasing, the graph would show a curved line that is getting steeper over time.
Conclusion:
Therefore, the correct answer is option 'D' - velocity was constant. When a graph of velocity versus time is a straight line, it indicates that the car was moving at a steady speed without any changes in velocity.
When a graph of velocity versus time is a straight line, it means that the velocity of the car is constant. This can be explained by the following points:
Definition of Velocity:
Velocity is defined as the rate of change of displacement with respect to time. It is a vector quantity, meaning it has both magnitude (speed) and direction.
Graph of Velocity versus Time:
When the velocity of a car is plotted as a function of time, the resulting graph shows how the velocity changes over time. The x-axis represents time, and the y-axis represents velocity.
Constant Velocity:
When the graph of velocity versus time is a straight line, it indicates that the velocity of the car is constant. This means that the car is moving at a steady speed in a particular direction, without any changes in its velocity.
No Acceleration:
Acceleration is the rate of change of velocity with respect to time. In the case of a straight line graph, since the velocity is constant, there is no change in the velocity over time. Therefore, the acceleration is zero.
Alternative Options:
a) The car starting at rest would result in a graph that starts at zero velocity and increases over time. This would not be represented by a straight line.
b) If the acceleration was constant, the graph would show a curved line rather than a straight line.
c) If the acceleration was increasing, the graph would show a curved line that is getting steeper over time.
Conclusion:
Therefore, the correct answer is option 'D' - velocity was constant. When a graph of velocity versus time is a straight line, it indicates that the car was moving at a steady speed without any changes in velocity.
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A graph is plotted showing the velocity of a car as a function of time. If the graph is a straight line, it means thata)the car started at restb)acceleration was constantc)acceleration was increasingd)velocity was constantCorrect answer is option 'D'. Can you explain this answer?
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