An object is at rest at #(4 ,5 ,1 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(7 ,2 ,6 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
The equation of motion for a constant accelerating object is
We are interested in the time that is
The acceleration is given, then we need the space.
The distance between two point in space
This is the distance that the object has to travel, so we can write