A ball is thrown with an initial speed of and is required to land back at the same…

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A ball is thrown with an initial speed of 25 m s−125\,\text{m\,s}^{-1} and is required to land back at the same horizontal level 35 m35\,\text{m} away. Take g=9.8 m s−2g=9.8\,\text{m\,s}^{-2}. Which statement about the possible projection angle(s) is correct? (a) No real projection angle is possible because the required range exceeds the maximum range for 25 m s−125\,\mathrm{m\,s^{-1}}.\ (b) Only one projection angle of 45∘45^{\circ} can satisfy the requirement.\ (c) Exactly two distinct projection angles (≈16.7∘\approx16.7^{\circ} and ≈73.3∘\approx73.3^{\circ}) can satisfy the requirement.\ (d) Two projection angles close to 26.6∘26.6^{\circ} and 63.4∘63.4^{\circ} will satisfy the requirement.\

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