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The graph below shows a velocity vs. time graph. A graph with horizontal axis time (seconds) and vertical axis velocity (meters per second). A straight line runs from 0 seconds 10 meters per second to 5 seconds 2 meters per second. Which graph would match the same type of movement that the graph shows? A graph with horizontal axis time (seconds) and vertical axis position (meters). A straight line runs from 0 seconds 0 meters upward. A graph with horizontal axis time (seconds) and vertical axis position (meters). A concave line runs from 0 seconds 0 meters upward. A graph with horizontal axis time (seconds) and vertical axis position (meters). A straight line runs from 0 seconds some positive number meters upward downward to some positive number of seconds 0 meters. A graph with horizontal axis time (seconds) and vertical axis position (meters). A convex line runs downward from 0 seconds some positive number of meters to some positive number of seconds 0 meters.

Respuesta :

Answer is "  A convex line runs downward from 0 seconds some positive number of meters to some positive number of seconds 0 meters. "

Explanation:

The figure shows Velocity vs Time Graph.

At t1=0, u=10m/s

At t2=5, v=2m/s

Let's calculated the acceleration

[tex]a=\frac{v-u}{t2-t1}[/tex]

[tex]a=\frac{2-10}{5-0}[/tex]

[tex]a=\frac{-8}{5}[/tex]

The equation of distance is given by

[tex]d=ut+\frac{a}{2} t^{2}[/tex]

[tex]d=(10)t+\frac{\frac{-8}{5}}{2} t^{2}[/tex]

[tex]d=10t+\frac{-8}{10} t^{2}[/tex]

[tex]d=10t+\frac{-4}{5} t^{2}[/tex]

[tex]5d=50t-4t^{2}[/tex]

From here, You can plot the graph of above equation by taking several points.

When t=0,

[tex]5d=50(0)-4(0)^{2} = 0m[/tex]

When t=5,

[tex]5d=50(5)-4(5)^{2}[/tex]

[tex]5d=250-100[/tex]

[tex]5d=150[/tex]

[tex]d=30m[/tex]

Similarly,

When t= 3s d=22.8m

When t=4s d=27.2m

Figure shown is graph of Distance vs Time.

Thus, answer is "  A convex line runs downward from 0 seconds some positive number of meters to some positive number of seconds 0 meters. "

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Ver imagen mintuchoubay

Answer:

Your answer is D) A graph with horizontal axis time (seconds) and vertical axis position (meters). A convex line runs downward from 0 seconds some positive number of meters to some positive number of seconds 0 meters.

Explanation:

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Ver imagen sincerelynini