To solve the question we must know about the relationship between Speed, distance, and Time.
What is the relationship between Speed, distance, and Time?
We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
The slope of the distance versus time graph is 5 m/sec.
Given to us
- Distance = 900 m
- Time = 3 min = 3 x 60 = 180 sec.
What is the slope of the distance versus time graph?
We know that the ratio of distance and time is equal to speed, therefore, the slope of the distance versus time graph is speed.
[tex]\rm{Speed = \dfrac{Distance}{Time} = \text{slope of the distance-versus-time graph}[/tex]
Value of slope
To find out the slope of this simply find the speed of the object, therefore,
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
[tex]\rm{Speed = \dfrac{900\ m}{180\ sec}[/tex]
[tex]\rm{Speed = 5\ m/sec[/tex]
Hence, the slope of the distance versus time graph is 5 m/sec.
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