# An object is at rest at #(7 ,4 ,2 )# and constantly accelerates at a rate of #4/5 m/s# as it moves to point B. If point B is at #(3 ,1 ,9 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

##### 1 Answer

Apr 21, 2016

Approximately 4.6 seconds

#### Explanation:

Assuming that the rate of acceleration is

Distance between

The relationship between distance, acceleration (from zero), and time is given by the formula:

Therefore

(using a calculator)