Question

The position of a baseball relative to home plate changes from 20, 7, −1 m to 25, 9, −5 m in 0.1 s. As a vector, write the average velocity of the baseball during this time interval. (Express your answer in vector form.)

Answer 1

Step-by-step explanation:

x = < 20, 7, -1 > m

y = < 25, 9, - 5> m

t = 0.1 s

Displacement between x and y is given by

z = y - x

z = < 25 - 20, 9 - 7, - 5 + 1>

z = < 5, 2, - 4 >

Magnitude of displacement is given by

`\sqrt{5^(2)+2^(2)+4^(2)}` = 6.71 m

Average velocity = total displacement / total time = 6.71 / 0.1 = 67.1 m/s