Question

explain acceleration = slope of line in detail

Answer 1

The vertical axis represents the acceleration of the object.

For example, if you read the value of the graph shown below at a particular time, you will get the acceleration of the object in meters per second squared for that moment.

Try sliding the dot horizontally on the graph below to choose different times, and see how the acceleration—abbreviated Acc—changes.

Answer 2

Here's the explanation........

In a ( v-t ) graph the slope of the graph gives the acceleration . There can be 3 cases :

1. case 1

when the graph is a st. line parallel to the x axis then the acceleration is zero as the velocity or speed is constant . also the slope is 0 .

2. case 2

when the graph is a st. line making an acute angle with the x axis . here the slope is positive and hence the body is accelerating and vel. is changing with time .

3. case 3

when the graph is a st. line making an obtuse angle with the xaxis the body is deaccelerating as the slope is negative .

acceleration is equal to the change in velocity .
(refer to the graph in the attachment please for the steps )

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