Question

The position-time graph of a pedestrian is given below. what is his displacement after 2.5 s?​

Answer 1

The displacement of the pedestrian after 2.5 seconds is -10 meters.

Step-by-step explanation:

Let
`x(t)` and
`t` be position, measured in meters, and time, measured in seconds, respectively. From definition of displacement, we get that:

`d = x(2.5\,s)-x(0\,s)`

Where:

`x(0\,s)` - Position of the pedestrian at 0 seconds, measured in meters.

`x(2.5\,s)` - Position of the pedestrian at 2.5 seconds, measured in meters.

If
`x(0\,s) = 10\,m` and
`x(2.5\,s) = 0\,m`, then the displacement of the pedestrian after 2.5 seconds is:

`d = 0\,m-10\,m`

`d = -10\,m`

The displacement of the pedestrian after 2.5 seconds is -10 meters.