An object is at rest at #(1 ,2 ,1 )# and constantly accelerates at a rate of #1/3# #ms^-2# as it moves to point B. If point B is at #(4 ,4 ,5 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
The distance between the two points is
First step is to find the distance between the two points:
Now we know:
We have the equation of motion:
Rearranging to make