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Q1. Water runs into a fountain, filling all the pipes, at a steady rate of 7.57×10-2 m^3/s.

How fast would it shoot out of a hole 4.57 cm in diameter?

At what speed would it shoot out if the diameter of the hole is three times as large?

Q2. A ball is thrown from the top of a building upward at an angle of 39degrees to the horizontal and with an initial speed of 24m/s. The ball is thrown at a height of 57 m above the ground and hits the ground 98.55 m from the base of the building. What is the speed of the ball just before it strikes the ground? The acceleration due to gravity is 9.80m/s2.

Reply in units of m/s

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