3. Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.600 cm and period 0.100 s. The string lies along the +x-axis and its left end is fixed at x = The string is 70.0 cm long. At time t= 0, the first antinode is at maximum positive displacement. = 0. a. Is the right end of the string fixed or free? Explain. b. Sketch the standing wave at time t= 0, t = T/4, and t = T/2. What are the wavelength, amplitude, and speed of the two traveling waves that form this pattern? d. Write an equation for the standing wave as a function of position and time. e. Write equations for the traveling waves that form this standing wave as functions of position and time. с.

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.