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A SpaceX rocket launched from the Boca Chica space port must attain a speed of 10000 m/s during the first 6 minutes of flight. Using the first equation of motion, determine the acceleration needed for a succesful take off.

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Answer:

27.78 m/s²

Explanation:

t = Time taken = 6 minutes

u = Initial velocity = 0 (assuming it started from rest)

v = Final velocity = 10000 m/s

s = Displacement

a = Acceleration due to gravity = 9.81 m/s²

First equation of motion

[tex]v=u+at\\\Rightarrow a=\frac{v-u}{t}\\\Rightarrow a=\frac{10000-0}{6\times 60}\\\Rightarrow a=27.78\ m/s^2[/tex]

Acceleration of the rocket is 27.78 m/s²