Home › Previous year questions › GATE 2023 BM › Question 65GATE 2023 BM – Question 65 Biomechanics · Muscles and Joint Kinematics · 2 marks · Numerical answer
A stone is thrown from height 2 m above the ground at 30° to the horizontal. It lands 6 m horizontally from its release point. Neglect air resistance and use g=10 m/s². Find launch speed in m/s to one decimal place.
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Show answer and explanation Correct answer: 6.3 to 6.9
Explanation Write x=u cos30° t=6 and vertical displacement −2=u sin30° t−(10/2)t². Eliminating t gives −2=6tan30°−10×36/[2u²cos²30°]. Thus u²=360/[2cos²30°(2+6tan30°)]≈43.92, giving u≈6.63 m/s. Rounded answer is 6.6 m/s.
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