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A race car accelerates uniformly from a speed of 41.0 m/s to a speed of 62.0...

A race car accelerates uniformly from a speed of 41.0 m/s to a speed of 62.0 m/s in 5.00 s while traveling clockwise around a circular track of radius 3.70  102 m. When the car reaches a speed of 50.0 m/s, find the following.

(a) the magnitude of the centripetal acceleration
______ m/s2

(b) the angular speed
______ rad/s

(c) the magnitude of the tangential acceleration
____ m/s2

(d) the magnitude of the total acceleration
____ m/s2

Use the values from above to help you work this exercise. Suppose the race car now slows down uniformly from 62.0 m/s to 29.0 m/s in 4.40 s to avoid an accident, while still traveling a circular path 3.70  102 m in radius.

(a) Find the magnitude of the centripetal acceleration when the speed is 40.0 m/s.
m/s2

(b) Find the angular speed when the speed is 40.0 m/s.
rad/s

(c) Find the magnitude of the tangential acceleration when the speed is 40.0 m/s.
m/s2

(d) Find the magnitude of the total acceleration when the speed is 40.0 m/s.

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