# An object is at rest at #(7 ,6 ,4 )# and constantly accelerates at a rate of #5/4 m/s^2# as it moves to point B. If point B is at #(5 ,5 ,7 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

##### 1 Answer

#### Explanation:

Let distance be

Let acceleration be

Let mean velocity be

Let point 1 be

Let point 2 be

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Distance is velocity multiplied by time but we have acceleration. So we need to change the acceleration to mean velocity

Mean velocity is

The negative time is not logical so we can discount it.

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Acceleration is changing velocity

Let the value of the acceleration is

Let the unit measure of distance be

Let the unit measure of time be

Let the count of time be

Then acceleration is written as

We must write the seconds as

The passing of time is

So the velocity after

Separating the counts from the units of measurement we have