A garden fountain sends a narrow stream of water straight upward from a ground-level…

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

Problem

A garden fountain sends a narrow stream of water straight upward from a ground-level nozzle. Measurements show that the water emerges from the nozzle with a speed of 8.0 m s−18.0\,\text{m}\,\text{s}^{-1}. Ignore air resistance and assume the water behaves as an ideal fluid once it leaves the nozzle. (a) Calculate the maximum vertical height, measured from the nozzle opening, that the water can reach. (b) Determine the time required for a drop of water to travel from the nozzle to the peak of its flight. (c) If the nozzle is 1.0 m1.0\,\text{m} above ground level, compute the speed of the water just before it returns to the ground.

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