1.) An automobile has tires with a radius of 0.39m. Starting from rest, it moves in a straight line without skidding through an angular displacement 285 radians. a. How far did the auto travel in meters? b. If it covers this distance in 22.2s, what is its average speed? c. Given it started from rest and its average speed from above, what must be its final speed. d. Find its angular acceleration. e. Find its final velocity in m/s f. Find its acceleration in m/s².

Q: e vector magnitude

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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.