Question

9. An object moving along a straight line covers equal distances in equal intervals of time, it is said to be in
uniform motion along a straight line.
a) The position - time graph of an object in uniform motion is...........
i) a straight line parallel to the time axis.
ii) a straight line parallel to the position axis.
iii) a straight line inclined to the time axis.
iv) a parabola.

Answer 1

Answer:

a straight line inclined to the time axis.

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Answer 2

The position-time graph of an object in uniform motion is a (iii)straight line inclined to the time axis.

Explanation:

If an object moves along a straight line covering equal distances in equal intervals of time then that means the velocity of the object is constant.

To understand this, let us draw the position-time graph.

Here according to the question, we have plotted (x,t) coordinates in such a way that the difference between two points are equal i.e. the object is covering equal distances in equal intervals of time.

Mathematically it can be represented : (x1-0)/(t1-0) = (x2-x1)/(t2-t1).

This gives us a straight line inclined to the time axis.

Hence the answer is that the position -time graph of an object in uniform motion gives a straight line inclined to the time axis.

Therefore option (iii) is correct.