# What is the speed of an object that travels from ( -9,0,1)  to ( -1,4,-6 )  over 2 s?

Sep 27, 2016

$\frac{\text{The speed of object is : "v=5.68 " unit}}{s}$

#### Explanation:

"Speed of an object is given as " v=("distance")/("time elapsed")

$\text{distance between (-9,0,1) and (-1,4,-6) is:}$

$\Delta x = \sqrt{{\left(- 1 + 9\right)}^{2} + {\left(4 - 0\right)}^{2} + {\left(- 6 - 1\right)}^{2}}$

$\Delta x = \sqrt{{8}^{2} + {4}^{2} + {\left(- 7\right)}^{2}}$

$\Delta x = \sqrt{64 + 16 + 49}$

$\Delta x = \sqrt{129}$

$\Delta x = 11.36 \text{ unit}$

$v = \frac{11.36}{2}$

$v = 5.68 \frac{\text{ unit}}{s}$