Remember that the velocity as a function of time is the derivative of the position as a function of time.
To solve this we are going to take the derivative of our position function

. To do that er are going to apply the power rule of calculus:




We can conclude that the correct answer is:
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B. V = 24 + 6t - 3t2</span>
1000 your welcome no problem
Given parameters:
y varies directly as w;
This interpreted implies that as y increases, we increases by a certain factor or amount;
So, y ∝ w
y = kw
where k is the constant of proportionality
Now, given that y = 8 and w = 2
Input in the equation to solve for k;
8 = k x 2
Solving k gives, k = 4
Now to the second part,
if v is directly proportional to w;
v = k w
So v = 4w
The equation that relates v to w is v = 4w