how would i find the total time spent decelerating on a velocity time graph

When is the slope negative (velocity declining)?

is it the times where the slope is in the negatives like if it is at a velocity of -20

To find the total time spent decelerating on a velocity-time graph, you can follow these steps:

1. Identify the regions on the graph where the velocity is decreasing or becoming more negative. These regions represent the periods of deceleration.

2. Measure the time intervals corresponding to each deceleration region. You can do this by determining the difference in time between the points where the velocity changes from positive to negative (or negative to more negative).

3. Add up the time intervals from all the deceleration regions to obtain the total time spent decelerating.

For example, let's say you have a velocity-time graph where the velocity changes from positive to negative at 2 seconds and from negative to more negative at 5 seconds. The time interval for the first deceleration region would be 2 seconds and for the second deceleration region it would be 3 seconds (5 seconds - 2 seconds). Therefore, the total time spent decelerating would be 2 seconds + 3 seconds = 5 seconds.

By following these steps, you can find the total time spent decelerating on a velocity-time graph.