A mass $$\(m\)$$ is thrown off the roof of a building of height $$\(h\)$$ with an initial speed $$\(v_{0}\)$$ and angle of elevation $$\(\theta\)$$ below the horizontal. What is the object's speed when it reaches the ground? (Do not ignore air friction.)

A.
\(v \geq \sqrt{g h+v_{0}^{2} / 2}\)
B.
\(v< \sqrt{g h+v_{0}^{2} / 2}\)
C.
\(v< \sqrt{2 g h+v_{0}^{2}}\)
D.
\(\nu< \sqrt{g h+v_{0}^{2} \sin ^{2} \theta / 2}\)
E.
\(v< \sqrt{2 g h+v_{0}^{2} \sin ^{2} \theta}\)
Physics C(M)
AP
College Board
Exam No:AP Physics C Practice Test Year:2024 Question No:31

Answer:

C

Knowledge points:

1.2 Kinematics: Motion in Two Dimensions
3.3 Conservation of Energy

Solution:

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