Answer: A student decides to measure the muzzle velocity

Chapter 3, Problem 3.3.67

(choose chapter or problem)

A student decides to measure the muzzle velocity of a pellet shot from his gun. He points the gun horizontally. He places a target on a vertical wall a distance x away from the gun. The pellet hits the target a vertical distance y below the gun. (a) Show that the position of the pellet when traveling through the air is given by y 5 Ax2, where A is a constant. (b) Express the constant A in terms of the initial (muzzle) velocity and the freefall acceleration. (c) If x 5 3.00 m and y 5 0.210 m, what is the initial speed of the pellet?

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