An object is at rest at #(2 ,9 ,8 )# and constantly accelerates at a rate of #1/5 m/s# as it moves to point B. If point B is at #(6 ,2 ,7 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
I'm assuming the object travels in a straight line. Distance between the two points given by:
The object is travelling with constant acceleration along this path, there are no external forces acting on it so equation of motion is:
This may be reminiscent of
Integrating again gives
We know that
The time at which
(we discard the negative solution as we are working with times).