Al is floating freely in her spacecraft, and you are accelerating away from her with an acceleration of 1g. 5) How will you feel
1 answer:
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When acceleration is constant, the average velocity is given by
where and
are the final and initial velocities, respectively. By definition, we also have that the average velocity is given by
where are the final/initial displacements, and
are the final/initial times, respectively.
Take the car's starting position to be at . Then
So we have
You also could have first found the acceleration using the equation
then solve for via
but that would have involved a bit more work, and it turns out we didn't need to know the precise value of anyway.
The maximum speed is 10.4 m/s
Explanation:
For a body in uniform circular motion, the centripetal acceleration is given by:
where
v is the linear speed
r is the radius of the circular path
In this problem, we have the following data:
- The maximum centripetal acceleration must be
where is the acceleration of gravity. Substituting,
- The radius of the turn is
r = 10 m
Therefore, we can re-arrange the equation to solve for v, to find the maximum speed the ride can go at:
Learn more about centripetal acceleration:
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