For the infamous water slide Verruckt (51.38 m, world tallest in 2014) that led to the fatal accident of the 10-yr-old son of Kansas state legislator Scott Schwab in 2016, it was caused by the over-speed of the ride raft went airborne passing the second hump of the slide. If the maximum speed of the raft to avoid airborne(and the fatal accident) is 22.7 miles/hr, what is the radius of the second hump(drop) as an arch, in unit of meter?

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.