Question

An object is at rest at `(6 ,7 ,2 )` and constantly accelerates at a rate of `4/3 m/s^2` as it moves to point B. If point B is at `(3 ,1 ,0 )`, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

Answer 1

Distance between the points A and B is
`d=sqrt ((6-3)^2+(7-1)^2+(2-0)^2`
`:.d=7m`
Now we know by the equation of motion that
`s=1/2at^2`
`:.7=1/2xx4/3xxt^2`
`=>t=3.24s`