Final answer:
When v varies directly with g, we first find the constant of proportionality with given values, then use it to calculate v for a new value of g. The result is v = 99 when g = 11.
Step-by-step explanation:
If v varies directly with g, we can write this relationship as v = kg, where k is the constant of proportionality. To find k, we use the given values v=36 when g=4. Solving for k yields k = v/g = 36/4 = 9. Now that we have found k, we can use it to find v when g=11 by multiplying k by the new value of g: v = 9 × 11 = 99.