# An object is at rest at #(1 ,2 ,9 )# and constantly accelerates at a rate of #1 m/s^2# as it moves to point B. If point B is at #(3 ,1 ,4 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

##### 1 Answer

#### Explanation:

We're dealing with *one-dimensional* motion with *constant acceleration*.

What we can do first is find the displacement

Let's look at our known quantities:

Since the object is initially at rest,

#v_(0x) = 0# We'll make the initial position

#x_0# be#0# , and the position#x# at time#t# be#5.48"m"# The acceleration is constant at

#1"m"/"s"#

To find the time duration

And since the initial velocity and position are both

Here, the variable