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Graphical Interpretation of Differentiability

The x-t graph...

Question

The x-t graph of an object is a straight line inclined to time-axis . What does this statement indicate?
(How we will draw the graph for this statement??)

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Solution

Since graph is inclined to time axis it means position of particle is changing so velocity may be positive or negative

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Q. The distance-time graph of a body is a straight line parallel to the X-axis. What does this imply?

For uniform motion :

(a) the distance-graph is a straight line parallel to the time axis.

(b) the speed-time graph is a straight line inclined to the time axis.

(c) the speed-time graph is a straight line parallel to the time axis.

(d) the acceleration-time graph is a straight line parallel to the time axis.

Q. State whether the following statements are true or false:
(a) The velocity time graph of a particle falling freely under gravity would be a straight line parallel to the axis.
(b) If the velocity- time graph of a particle is a straight line inclined to time axis, then its displacement - time graph will also be a straight line?

What does this graph indicate about the motion of an object?

Q. The displacement - time graph of a particle moving with respect to a fixed point is a straight line and is not parallel to X axis. Then the necessary conclusion we can infer from this statement is that:

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