The chart shows Daniela’s run through her race.



What is her velocity?

a. 1.5 m/s
b. 2 m/s
c. 2.5 m/s
d. 5 m/s

The chart shows Danielas run through her race What is her velocity a 15 ms b 2 ms c 25 ms d 5 ms class=

Respuesta :

Velocity is defined as the displacement over time. In the diagram, we can solve velocity by taking the two distances over time. 
Velocity = (D1-D2)/(t1-t2)
where
D1=5m D2=10m, t1=0s, t2=2s
Velocity= 10m-5m/(2s-0s)
Velocity = 2.5m/s

Daniela's velocity is equal to 2.5m/s.


The velocity of Daniela's run is 2.5 m/s.

What is velocity?

The velocity of an object is the rate of change of displacement with time.

[tex]v = \frac{dx}{dt}[/tex]

From the graph, the velocity of Daniela's run is calculated from the slope of the graph.

[tex]v = \frac{x_2 - x_1}{t_2 - t_1}[/tex]

where;

  • x₂ is the final displacement = 30 m
  • x₁ is the initial displacement = 20 m
  • t₂ is the final time = 10 s
  • t₁ is the initial time = 6 s

[tex]v = \frac{30 -20}{10 -6} \\\\v = 2.5 \ m/s[/tex]

Thus, the velocity of Daniela's run is 2.5 m/s.

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