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

##### 1 Answer

May 21, 2017

#### Explanation:

In a 3-dimensional coordinate system, the distance between two points is given by:

We can use the equation of motion:

Since the initial velocity

Note that the term 'r' I was using in the distance calculation above is the same as the distance 's' that the object moves. I don't want the symbol change to be confusing.

(I used 0.25 rather than 1/4 for ease of writing, but of course it means the same thing)

Therefore