To decide who pays for lunch, a passenger on a moving

Chapter 4, Problem 73

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To decide who pays for lunch, a passenger on a moving train tosses a coin straight upward with an initial speed of 4.38 m/s and catches it again when it returns to its initial level. From the point of view of the passenger, then, the coins initial velocity is . The trains velocity relative to the ground is . (a) What is the minimum speed of the coin relative to the ground during its ight? At what point in the coins ight does this minimum speed occur? Explain. (b)Find the initial speed and direction of the coin as seen by an observer on the ground. (c)Use the expression for derived in Example 47 to calculate the maximum height of the coin, as seen by an observer on the ground. (d)Calculate the maximum height of the coin from the point of view of the passenger, who sees only one-dimensional motion.