A ball is kicked from level ground with an initial speed of

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A ball is kicked from level ground with an initial speed of 30 m ⁣⋅ ⁣s−130\,\text{m}\!\cdot\!\text{s}^{-1}. Neglecting air resistance and taking g=9.8 m ⁣⋅ ⁣s−2g=9.8\,\text{m}\!\cdot\!\text{s}^{-2}, what is the smaller of the two possible launch angles that will allow the ball to land 50 m50\,\text{m} away on the same horizontal level? (a) 45∘45^{\circ} (b) 33∘33^{\circ} (c) 17∘17^{\circ} (d) 30∘30^{\circ}

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