Question

The graph represents velocity over time.

A graph with horizontal axis time (seconds) and vertical axis velocity (meters per second). A line runs from 0 seconds 2 meters to 100 seconds 22 meters.

What is the acceleration?

–0.4 m/s2
–0.2 m/s2
0.2 m/s2
0.4 m/s2

Answer 1

`a = 0.20 m/s^2`

Step-by-step explanation:

As we know that rate of change in velocity is given as acceleration

Here we know that

`a = (v_f - v_i)/(t)`

here we know that

`v_f = 22 m/s`

`v_i = 2 m/s`

`t = 100 - 0`

now we have

`a = (22 - 2)/(100)`

`a = 0.20 m/s^2`

Answer 2

0.2ms^{-2}

Step-by-step explanation:

acceleration can be taken as the gradient of a velocity - time graph

let the points be (0,2) (100,22)

`acceleration=(22-2)/(100-0)\\ =0.2ms^(-2)`