The magnitude of the average velocity of a particle that moves from a point x = 3 cm, y = 10 cm and z = -4 cm to another point x=21 cm, y = 16 cm and z = 29 cm in time interval of 3 seconds is:

V_ave = (6, 2, 11) [cm/s]

Explanation:

To solve this problem we must remember the concept of average speed, which is equal to the space traveled within a given time interval. For this special case we have points on the three coordinate axes and the time that exists between the position changes in this way we identify the first point as A and the second point as B.

A (3, 10, -4) [cm]

B (21, 16, 29) [cm]

AB = (21, 16, 29) - (3, 10, -4)

AB = (18, 6, 33) [cm]

V_ave = 18/3 , 6/3, 33/3

Therefore the average speed in each component will be:

V_ave = (6, 2, 11) [cm/s]  

the average speed is 24.57 km/hr

"i have always loved contemporary art and made it a general goal to work within the field. after a few nonprofit internships at museums and galleries, i decided to try the for-profit art world and was offered a job as the ad assistant at the magazine. i much prefer the pace of the for-profit art community and have stayed with the company for three years, with a promotion to an account manager last spring."

i just did this and got a 100.