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I want to make a Twinkie splat when I throw it off a building. Because Twinkies are notoriously hard to crush, I want it to hit the ground moving at 128ft/s. I am going to throw it straight down, with a speed of 8ft/s off the roof of the building. How high does the building need to be

Respuesta :

Answer:

[tex]s=253.6524712 \approx 253.7[/tex]

Explanation:

From the question we are told that

Initial speed[tex]v=8ft/s[/tex]

Final speed [tex]v=128ft/s[/tex]

Generally the Newtons  equation of motion is mathematically represented by

[tex]V_f^2-V_0^2=2as[/tex]

with

Therefore

[tex]a=g=>9.81m/s^2\\a=32.17ft/s^2[/tex]

Therefore

[tex]128^2-8^2=2*(32.17)*s[/tex]

[tex]16320=2*(32.17)*s[/tex]

[tex]s=\frac{16320}{2*(32.17)}[/tex]

[tex]s=253.6524712 \approx 253.7[/tex]

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