# An object is at rest at #(8 ,2 ,9 )# and constantly accelerates at a rate of #3 m/s# as it moves to point B. If point B is at #(6 ,7 ,3 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

The time is

The following equation of motion will be used:

Thus,

In this case,

Thus,

Utilizing the motion equation,

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Using the kinematic equation ( s = ut + \frac{1}{2}at^2 ), where ( s ) is the displacement, ( u ) is the initial velocity, ( a ) is the acceleration, and ( t ) is the time, the time it takes for the object to reach point B is approximately 1.732 seconds.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- Two subway stops are separated by 1200 m. If a subway train accelerates at 1.4 m/s^2 from rest through the first half of the distance and decelerates at -1.4 m/s^2 through the second half, what are (a) its travel time and (b) its maximum speed ?
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