A hypodermic syringe contains a medicine with the density of water. The barrel of the syringe has a cross-sectional area of 2.87 ✕ 10 ⁻⁵ m ² . In the absence of a force on the plunger, the pressure everywhere is 1.00 atm. A force F of magnitude 1.70 N is exerted on the plunger, making medicine squirt from the needle. Determine the medicine's flow speed through the needle. Assume the pressure in the needle remains equal to 1.00 atm and that the syringe is horizontal.