Question

An object is moving in the clockwise direction around the unit circle $x^{2}+y^{2}=1$. As it passes through the point $(\frac{1}{2},\frac{\sqrt{3{2})$, its y-coordinate is decreasing at the rate of 3 units per sec. The rate at which the x-coordinate changes at this point is

• A. 2 units/sec
• B. $3\sqrt{3}$ units/sec
• C. $\sqrt{3}$ units/sec
• D. $2\sqrt{3}$ units/sec

Hint:

Logic Tip: In related rates problems, always ensure you assign the correct sign to the given rates. "Decreasing" implies a negative rate of change ($-3$), while "increasing" implies a positive rate.

Answer 1

The Correct Option is B