Calculating Average Speed of Tennis Ball

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SUMMARY

The average speed of a tennis ball can be calculated using the formula speed = distance/time. In this discussion, the ball's positions at 0.22 seconds and 0.26 seconds are given as (6, 8, 0) m and (6.52, 8.16, 5.88) m, respectively. The distance between these two points is determined to be approximately 5.88 meters, leading to an average speed of 14.7 m/s when divided by the time interval of 0.04 seconds. The discussion emphasizes that average speed is a scalar quantity derived from the magnitude of the average velocity vector.

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Homework Statement


At a time 0.22 seconds after it has been hit by a tennis racket, a tennis ball is located at (6, 8, 0)  m, relative to an origin in one corner of a tennis court. At a time 0.26 seconds after being hit, the ball is located at (6.52, 8.16, 5.88)  m. Calculate the following results, and include correct units:

(b) What is the average speed of the tennis ball?


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The Attempt at a Solution



I had to calculate the average velocity. I got (13, 4, -3) m/s and I have the unit vector (.934, .287, -.215). i know that vavg = deltad/deltat. The problem is that the speed is a scalar and that confuses me.
 
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Speed = Distance/Time.

You are given the time. Calculate the distance between the two points.
 
Given such a short time interval we can safely approximate the path of the ball to straight line by ignoring the effect of gravity. For a particle moving in a straight line which doesn't change its direction of motion the magnitude of the average velocity vector gives the average speed.
 

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