If the speed of an object changes with time, the distance–time graph will be:
A curved line
On a distance–time graph, the slope at any point gives the speed of the object. If the speed keeps changing with time, the slope must keep changing too, and a line whose slope is continuously changing is a curved line. So non-uniform (changing) speed always produces a curved distance–time graph.
A straight line parallel to the time axis (a horizontal line) means distance is not changing at all, so the object is at rest. A straight line inclined to the time axis has a constant slope, which represents uniform speed, not changing speed. Only a curved line can show a speed that varies with time.
Hence, the answer is a curved line.
Similar Questions
If a body's velocity changes from +20 m/s to –10 m/s in 4 seconds, the acceleration is _______.
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(Take the value of g = 10 m/s2)
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Which quantity can never be negative in one-dimensional motion?
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A car starts from rest and gradually increases its speed. Which of the following best describes its distance-time graph?
A car increases its velocity from 10 m/s to 30 m/s in 5 seconds. What is the acceleration of the car?
Which statement best describes the velocity of an object undergoing uniform circular motion?
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Important Questions from Motion
An object is covering distance in direct proportion to the square of time elapsed. What conclusion can be drawn about the motion of the object?
If the distance time graph of the motion of an object is a straight line but not parallel to the time axis, then it may be concluded that the object is moving with a:
Which of the following changes when a body performs uniform circular motion?
Vehicles have treaded tires so that it_______.
If the initial velocity of an object thrown upwards is 14 m/s, then the time taken for the object to reach its highest point will be_______. (a = 9.8 m/s2)
