- #1

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I know that the maximum speed occurs when the normal force= zero. And by my calculations v

_{max}=√rg (where r is the radius and g is the acceleration of gravity)

Is this all I need? Am I missing anything?

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In summary, the maximum speed at which a person can drive a car over the top of a hill without the car leaving the road is √rg, where r is the radius of the hill and g is the acceleration of gravity. The normal force must be equal to zero for this maximum speed to occur.

- #1

- 4

- 0

I know that the maximum speed occurs when the normal force= zero. And by my calculations v

Is this all I need? Am I missing anything?

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- #2

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Seems ok to me. What to you think you might be missing?

- #3

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I didn't think there was anything missing, this is just me being paranoid I guess. Thank you

"Driving the Perfect Curve: Maximum Speed on a Hilltop" is a study that examines the optimal speed and trajectory for driving around a curve on a hilltop in order to achieve the maximum speed.

Understanding the perfect curve on a hilltop can help improve driving techniques and safety. It can also provide insights into the physics of driving and how to optimize speed and control on different terrains.

This study typically involves using a combination of mathematical equations and computer simulations to analyze the factors that affect the maximum speed on a hilltop curve, such as the angle of the hill, the radius of the curve, and the car's velocity.

The results of this study may vary depending on the specific parameters and conditions, but generally, it has been found that a shallower hill with a larger radius curve allows for a higher maximum speed. Additionally, a smooth and gradual acceleration and deceleration can help maintain a higher speed throughout the curve.

By understanding the optimal speed and trajectory for driving on a hilltop curve, drivers can improve their performance and safety on the road. This knowledge can also be used in the design and construction of roads and highways to ensure safer and more efficient driving conditions.

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