A roller coaster car drops a maximum vertical distance of 35.4 m. Determine the maximum speed of the car at the bottom of that drop. Ignore work done by friction.

The maximum speed of the car at the bottom of the drop is 26.34 m/s.

The maximum speed of the car can be determined using the equation below.

 From the question,

Substitute these values into the equation

Hence, the maximum speed of the car at the bottom of the drop is 26.34 m/s

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The maximum speed of the car at the bottom of that drop is 26.34 m/s.

Explanation:

Given that,

The maximum vertical distance covered by the roller coaster, h = 35.4 m

We need to find the maximum speed of the car at the bottom of that drop. It is a case of conservation of energy. The energy at bottom is equal to the energy at top such that :

v = 26.34 m/s

So, the maximum speed of the car at the bottom of that drop is 26.34 m/s. Hence, this is the required solution.

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