Two stones are thrown simultaneously from the top of a cliff high

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two stones are thrown simultaneously from the top of a cliff 80 m80\,\text{m} high. Stone A is projected horizontally with speed 12 m s−112\,\text{m s}^{-1}. Stone B is thrown with speed 15 m s−115\,\text{m s}^{-1} at an angle 37∘37^{\circ} below the horizontal. Assume g=9.8 m s−2g = 9.8\,\text{m s}^{-2} and neglect air resistance. (i) Calculate the time taken by each stone to reach the ground. (ii) State which stone strikes the ground first and by how much time. (iii) Determine the horizontal separation between the points where the two stones land.

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