Ablok slides on ahorizonted sur fors which has been lubricated with heavy oil such that the blok soffers a viscous resistance that vories as the square root of the speed f(v)=-cv^1/2 if the initial speed of the blok is v° at time t=0 find the volues of (v) and (x) as afanctions of the time (t)

Explanation:

Given

To start with, we begin with

Substitute the expression for F

Acceleration (a) is:

So, the expression becomes:

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Velocity (v) is:

--- distance/time

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So, we have:

Divide both sides by

Divide both sides by m

Integrate:

Next, is to get the maximum velocity by distance x.

To do this, we find the derivation by x

Divide both sides by

Take cube roots of both sides

1 a

2 b

3 b

4 d

5 d

6 d

explanation: