The average value of the squared speed v̅2 does not

The average value of the squared speed v̅2 does not equal the square of the average speed (v̅)2. To verify this fact, consider three particles with the following speeds: v1 = 3.0 m/s, v2 5 7.0 m/s, and v3 = 9.0 m/s. Calculate (a) v2 = 1/3 (v12 + v22 + v32 ) and (b) (v̅)2 5 [1/3 (v1 + v2 + v3 )]2.