Kelly met Jesse and Liza at the max for breakfast. The graph shows Kelly’s speed during her 12 minute drive

Answer:

D. [tex]-360\,\frac{km}{h}[/tex]

Step-by-step explanation:

Physically speaking, average acceleration ([tex]\bar a[/tex]), measured in kilometers per square hour, is defined by following formula:

[tex]\bar a = \frac{v_{f}-v_{o}}{t_{f}-t_{o}}[/tex] (1)

Where:

[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final speed, measured in kilometers per hour.

[tex]t_{o}[/tex], [tex]t_{f}[/tex] - Initial and final instant, measured in hours.

The initial and final instants are, respectively:

[tex]t_{o} = 5\,min\times \frac{1\,h}{60\,min}[/tex]

[tex]t_{o} = 0.083\,h[/tex]

[tex]t_{f} = 9\,min \times \frac{1\,h}{60\,min}[/tex]

[tex]t_{f} = 0.15\,h[/tex]

If we know that [tex]t_{o} = 0.083\,h[/tex], [tex]v_{o} = 60\,\frac{km}{h}[/tex], [tex]t_{f} = 0.15\,h[/tex] and [tex]v_{f} = 36\,\frac{km}{h}[/tex], then the average acceleration of Kelly is:

[tex]\bar a = \frac{36\,\frac{km}{h}-60\,\frac{km}{h}}{0.15\,h-0.083\,h}[/tex]

[tex]\bar a = -358.209\,\frac{km}{h^{2}}[/tex]

The correct answer is D.

Answer:

Step-by-step explanation:

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