Question

What is the speed of an object that travels from `( -5 , 2, -8)` to `(6 , -2, 7 )` over `4 s`?

Answer 1

`v~=4,76m/s`

Explanation:

`P_1=(x_1,y_1,z_1)`
`P_2=(x_2,y_2,z_2)`
`Delta x=x_2-x_1`
`Delta y=y_2-y_1`
`Delta z=z_2-z_1`
`"distance between two points is given by:"`
`Delta s=sqrt(Delta x^2+ Delta y^2+ Delta z^2)`
`Delta s=sqrt(11^2+(-4)^2+15^2)=sqrt(121+16+225)`
`Delta s=sqrt362`
`Delta s ~=19,03m`
`v=(Delta s)/(Delta t)`
`v=(19,03)/4`
`v~=4,76m/s`