A rescue plane flies horizontally at when it releases a flare at an altitude of

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A rescue plane flies horizontally at 60 m s−160\,\text{m\,s}^{-1} when it releases a flare at an altitude of 180 m180\,\text{m}. After release, the flare experiences a constant horizontal acceleration of 1.5 m s−21.5\,\text{m\,s}^{-2} opposite to the plane’s motion while gravity acts downward with g=9.8 m s−2g = 9.8\,\text{m\,s}^{-2}. Neglect air resistance other than the stated horizontal acceleration. How far horizontally from the release point does the flare land? (a) 3.6×102 m3.6 \times 10^{2}\,\text{m} (b) 3.1×102 m3.1 \times 10^{2}\,\text{m} (c) 3.4×102 m3.4 \times 10^{2}\,\text{m} (d) 3.9×102 m3.9 \times 10^{2}\,\text{m}

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