Question

What is the speed of an object that travels from `( 8,-8,2)` to `( -5 , -3,-7 )` over `2 s`?

Answer 1

`v=8,2925`

Explanation:

`P_1:(8,-8,2) " point of starting"`
`P_2:(-5,-3,-7) " point of ending"`
`Delta x=P_(2x)-P_(1x)=-5-8=-13`
`Delta y=P_(2y)-P_(1y)=-3+8=5`
`Delta z=P_(2z)-P_(1z)=-7-2=-9`
`"distance between two point is given by:"`
`s=(Delta x_x^2+ Delta _y^2+ Delta_z^2)^(1/2)`
`s=(169+25+81)^(1/2)`
`s=(275)^(1/2)`
`s=16,585`
`speed=("distance")/("elapsed time")`
`v=(16,585)/2`
`v=8,2925`