The acceleration-time graph is used to show the relationship between the acceleration of a body and time.
Let:
[tex]a \to[/tex] acceleration
[tex]t \to[/tex] time
From the question, we have the following parameters:
[tex](a_1,t_1) = (0,0)[/tex]
[tex](a_2,t_2) = (0.25,6.5)[/tex] ---- when the robot accelerates
[tex](a_3,t_3) = (0,57)[/tex] ----- when the robot travels without acceleration
[tex](a_4,t_4) = (-0.60,2.7)[/tex] ---- when the robot decelerates
To represent this on an acceleration time graph, we consider the following:
- When the robot accelerates, the line on the graph increases in a right upward direction
- When the robot travels without acceleration, the acceleration is represented with a horizontal line. This simply means that acceleration is 0
- When the robot decelerates, the line on the graph decreases in a right downward direction
The total time (t) spent by the robot is 66.2 seconds
This is calculated as follows:
[tex]t = 6.5 + 57 + 2.7[/tex]
[tex]t = 66.2[/tex]
See attachment for the acceleration time graph (not drawn to scale)
Read more about acceleration-time graph at:
https://brainly.com/question/5285428
