In Figure, time and distance graph of a linear motion is given. Two positions of time and distance are recorded as, when T = 0, D = 2 and when T = 3, D = 8. Using die concept of slope, find law of motion, i.e., how distance depends upon time.

Explanation

Now, we know that the equation of a line passing through two points `(x1,y1) and (x2,y2)` is

`(y−y1)=y2−y1x2−x1(x−x1)`.

So, we have to find the equation between time and distance that is the equation of a given line.

So, we have,

`(y−8)=(8−23−0)(x−0)`

`(y−8)=53xy=8+53xy=53x+8`

Now, since on y – axis we have distance D and on x – axis we have time T. So, the equation of the given line is,
`D=8+53T`

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