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A projectile is launched from the ground with initial velocity $\vec{u} = u_0\hat{i} + v_0\hat{j}$. Gravity acts in the $-y$ direction. The maximum displacement in the $x$-direction is:
Time of flight $= \dfrac{2v_0}{g}$ (time for vertical displacement to return to zero).
Horizontal range $= u_0 \times \dfrac{2v_0}{g} = \mathbf{\dfrac{2u_0 v_0}{g}}$
This two-blank question requires understanding the critical tone of the passage.
Blank (i): The agency never defined “untenable risk,” leaving it without a firm standard. This absence of a standard made it open and vulnerable to outside influence. Susceptible to means vulnerable or open to — exactly right. “Unaware of” doesn’t explain the influence, and “irritated at” changes the meaning entirely.
Blank (ii): Experts reacted negatively to the agency’s poor decision. They would pan it — meaning to criticize harshly. “Complimented” is the opposite, and “overlooked” means to ignore, not to criticize.
Correct Answers: Blank (i) = A (susceptible to), Blank (ii) = E (panned).
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