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.
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Important Questions from Motion
The motion of a particle of mass m is described by the relation, y = ut - 1⁄2 gt2, where u is the initial velocity of the particle. The force acting on the particle is
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- in a particular direction is velocity.
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The motion of the body moving along a circular path is an example of ______.
