# An object is at rest at #(4 ,5 ,8 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(7 ,9 ,2 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

##### 1 Answer

May 9, 2016

Find the distance, define the motion and from the equation of motion you can find the time. Answer is:

#### Explanation:

Firstly, you have to find the distance. The Cartesian distance in 3D environments is:

Assuming the coordinates are in form of

The motion is acceleration. Therefore:

The object starts still