A snail moving in the positive (+) direction at an inital velocity of +0.67 cm/s decreases its speed with an acceleration of -0.0059 (cm/s)/s. How many seconds would it take to reach a velocity of +0.58 cm/s?

Question

anonymous · Answer

$$v _{f}=v _{i}+at$$
where vf is final velocity
vi is initial velocity
a is acceleration
t is time.

anonymous · Answer

They are all in cm, so you dont have to convert.

anonymous · Answer

So Vf = .67 +  (-.0059)(.58)?

anonymous · Answer

Ask yourself: What is this problem looking for?

anonymous · Answer

and what is given?

anonymous · Answer

It's wanting the amount of seconds to reach .58 cm/s. 
The inital and acceleration are given.

anonymous · Answer

How many seconds would it take to reach a velocity of +0.58 cm/s?

Final velocity is given too.

anonymous · Answer

You are right. 
They want seconds which is time (t)
Now plug in the formula again.

anonymous · Answer

-0.0059=(.58-.67)/(t)

anonymous · Answer

Would that be the set up?

anonymous · Answer

Yes, that is correct.
It would be better if you the t by itself though.

anonymous · Answer

And you divide the -0.0059 by (.58-.67)?

anonymous · Answer

Yea thats like algebra right there.

anonymous · Answer

So I should get 15.25423729

anonymous · Answer

Looks correct!

anonymous · Answer

And what your answer be in sf?

anonymous · Answer

15

anonymous · Answer

Yes!

anonymous · Answer

Thanks for the help

anonymous · Answer

No problem!

The answer is 15 seconds btw or just 15 s