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Suzie (of mass 76 kg) is roller-blading down the sidewalk going 50 miles per hour. She notices a group of workers down the walkway who have unexpectedly blocked her path, and she makes a quick stop in 1.2 seconds. What is Suzie’s average acceleration?

Respuesta :

Answer:

Acceleration, [tex]a=-18.62\ m/s^2[/tex]

Explanation:

Given that,

Mass of Suzie, m = 76 kg

Initial speed of Suzie, u = 50 mph = 22.35 m/s

Finally, it stops, v = 0

Time, t = 1.2 s

Let a is the Suzie’s average acceleration. It is equal to the rate of change of velocity. Its formula is given by :

[tex]a=\dfrac{v-u}{t}[/tex]

[tex]a=\dfrac{0-22.35}{1.2}[/tex]

[tex]a=-18.62\ m/s^2[/tex]

So, the average acceleration of Suzie’s is [tex]18.62\ m/s^2[/tex] and she is decelerating. Hence, this is the required solution.

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