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A Ferris wheel hasa maximum height of 56 m and a minimum height of 14 m. It can make one rotation in 45 seconds. During the first rotation, when is the instantaneous rate of change of the height of a chair on the

Ferris wheel 0, if it starts at the height of the Ferris wheel's axle?
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A Ferris wheel hasa maximum height of 56 m and a minimum height of 14 m. It can make one rotation in 45 seconds. During the first rotation, when is the instantaneous rate of change of the height of a chair on the

Ferris wheel 0, if it starts at the height of the Ferris wheel's axle?

A Ferris wheel hasa maximum height of 56 m and a minimum height of 14 m. It can make one rotation in 45 seconds. During the first rotation, when is the instantaneous rate of change of the height of a chair on the

Ferris wheel 0, if it starts at the height of the Ferris wheel's axle

Step by step solutions

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Did you know that in a Ferris wheel with a maximum height of 56 m and a minimum height of 14 m, the instantaneous rate of change of the height of a chair is 0 during the first rotation? Here's a step-by-step explanation: 1. To determine when the instantaneous rate of change of the height is 0, we need to find the key points where the height is not changing. 2. In this case, the Ferris wheel makes one rotation in 45 seconds. 3. Let's consider the position of a chair on the Ferris wheel at one point. At the start of the rotation, the chair starts at the height of the Ferris wheel's axle. 4. As the Ferris wheel rotates, the chair moves from the minimum height of 14 m to the maximum height of 56 m and then back to the minimum height. 5. However, during the first rotation, when the chair starts at the height of the axle, it slowly moves upward until it reaches the maximum height at the topmost point. 6. At this point, the chair changes direction and starts moving downward. 7. The higher the chair moves, the faster it changes its height, and the lower the chair moves, the slower it changes its height. 8. Therefore, at the precise moment when the chair reaches the highest point, the instantaneous rate of change of its height is 0. 9. This means that the chair is momentarily stationary at the topmost point of the Ferris wheel during the first rotation. 10. After this point, the chair starts moving downward, and the instantaneous rate of change of its height becomes negative as it descends.