What can you say about the nature of motion of a body if its displacement-time graph is(a) a straight line parallel to time axis?(b) a straight line inclined to the time axis with an acute angle?(c) a straight line inclined to the time axis with an obtuse angle?(d) a curve?
Question
What can you say about the nature of motion of a body if its displacement-time graph is(a) a straight line parallel to time axis?(b) a straight line inclined to the time axis with an acute angle?(c) a straight line inclined to the time axis with an obtuse angle?(d) a curve?
Solution
(a) If the displacement-time graph is a straight line parallel to the time axis, it means that the body is at rest. This is because the displacement is not changing with time.
(b) If the displacement-time graph is a straight line inclined to the time axis with an acute angle, it means that the body is moving with a constant velocity. The slope of the line represents the velocity of the body.
(c) A straight line inclined to the time axis with an obtuse angle is not possible in a displacement-time graph. This is because time cannot decrease in a physical situation.
(d) If the displacement-time graph is a curve, it means that the body is moving with a variable velocity, i.e., the body is under acceleration or deceleration. The slope of the tangent at any point on the curve gives the velocity of the body at that instant.
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