Question

Acceleration with motion graphs please help

Answer 1

The acceleration of the car in section C is -3 m/s/s

Explanation:

The acceleration of a body is defined as:

$a=\frac{\Delta v}{\Delta t}$

where

$\Delta v$ is the change in velocity of the body

$\Delta t$ is the time it takes for the body to change its velocity by $\Delta v$

We notice that in a graph of velocity vs time, the slope of the graph is

$m=\frac{\Delta v}{\Delta t}$

So we see that the slope of the graph corresponds to the acceleration of the object.

In section C of this graph, we have:

$\Delta v = v-u=6 m/s - 12 m/s = -6 m/s$ is the change in velocity of the object

$\Delta t = 11 s - 9 s = 2 s$ is the time interval

Therefore, the slope of the graph (and so, the acceleration of the car) in section C is:

$a=\frac{-6}{2}=-3 m/s^2$

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