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The kinematics and the graphical representation allow finding the results for the realization of the graph and the calculation of each speed are:
- In the attachment we can see the graph of distance versus time
- The speeds are different in each time interval and are represented by the slope of the graph.
The kinematics analyzes the movement of the bodies to find relationships between the position, the velocity and the acceleration of the bodies, in the special case that the acceleration is zero is called uniform movement and is described by the expression
[tex]v = \frac{\Delta x}{t}[/tex]
Where v is the velocity, Δx the change of position, t the time of the interval
In this exercise they ask for a graph of the position versus time, let's build a table with the data of time and change of position
Time Δx Time Distance
(min) (km) accumulated accumulated
(min.) (km)
0 0 0 0
12 2 12 2
2 0 14 2
5 1 19 3
18 3 37 6
1.5 0 38.5 6
5 1 43.5 7
6 1 49.5 8
7 1 56.5 9
8 1 64.5 10
The total distance is the sum of all the distances
[tex]x_{total}[/tex] = 2 + 1 + 3 +1 + 1 + 1 + 1
[tex]x_{total}[/tex] = 10 km
Let's find the distance traveled for the intervals where it travels 3 km at 6 min / km, therefore for the three kilometers use a time of 18 min
In the attachment we can see a graph of the accumulate distance on the y axis versus the accumulate time on the x axis.
In this graph we can calculate that it has several speeds
Let's find the velocities of each interval
Interval 1
Time 12 min
v₁ = 2-0 / 12
v₁ = 0.166 km / min
interval 2 and 5
Distance Δx = 0
v₂ = v₅ = 0 km / min
Interval 3
Time 5 min
v₃ = 1/5
v₃ = 0.2 km / min
Interval 4
Time 18 min
v₄ = 3/18
v₄ = 0.166 km / min
interval 6
time 5 min
v₆ = 1/5
v₆ = 0.2 km / min
Interval 7
Time 6 min
v₇= 1/6
v₇ = 0.166 km / min
Interval 8
Time 7 min
v₈ = 1/7
v₈ = 0.143 km / min
Interval 9
Time 8 min
v₉ = 1/9
v₉ = 0.111 km / min
These speed are the slopes of the different lines that are observed in the graph.
In conclusion with kinematics and graphical representation can find the results for the realization of the graph and the calculation of each velocity are:
- In the attachment we can see the graph of distance versus time
- The speeds are different in each time interval and are represented by the slope of the graph.
Learn more here: https://brainly.com/question/24194180
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