Question

The rest of the question is What is the speed of each seat? Answer in units of m/s.

Answer 1

5.57 m/s

Explanation:

The magnitude of the velocity of each seat is given by the following equation:

`s=\sqrt[]{g\cdot x\cdot(\sin\theta)/(\cos\theta)}`

The value of x is the total extension of the seats from the center of the platform, we can calculate it as follows:

`\begin{gathered} x=(d)/(2)+(L\cdot\sin \theta) \\ \text{ Replacing:} \\ x=(8.03)/(2)+(3.76\cdot\sin 28.6\text{\degree)} \\ x=5.81 \end{gathered}`

Replacing:

`\begin{gathered} s=\sqrt[]{9.8\cdot5.81\cdot(\sin \: 28.6)/(\cos \: 28.6)} \\ s=5.57\text{ m/s} \end{gathered}`

The speed is 5.57 m/s