# An object is at rest at #(1 ,9 ,1 )# and constantly accelerates at a rate of #1/3 m/s# 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.

##### 1 Answer

#### Answer:

#### Explanation:

We're asked to find the time

To do this, we can use the equation

We know it starts from a state of rest, so the initial velocity

To find the displacement

And our acceleration is given as

Plugging in known values and solving for