1. In a snowy day and a temperature of -27.3"C, a train emitted a 531.85 Hz sound as it recedes away from the railway station. If a person standing on the platform heard a 500 Ha frequency what was the speed of the train? 2. A sinusoidal wave train is described by y = 25 sin [2x (6x + 50)] where x and y are measured in centimeters (a) What is the magnitude of the maximum transvers velocity and acceleration of the wave? (b) Determine the wavelength and the period of the wave. 3. A string of 0.1575 g/m mass density and 167 cm long is held tight on one of its ends to an electromagnet vibrator. It vibrates in 6 segments when a 70 g mass hangs on its other end. Determine the frequency of vibration of the string. 4. An observer records a sound intensity of 18 W/m' at 100 cm from a speaker. At what distance does he record a sound intensity of 2 W/m"? 5. Verify that the function 5x + 3r is a solution to the 2"d order differential wave equation. 6. Two waves, y,and yz are given by the equations y1 =5 sin [2x (x + 50)] and y= = 5 sin [2a(x - 50)]- (a) Determine the equation of the standing wave. (b) Determine the position of the first 4 nodes of the standing wave. 7. Draw a graph of fifth mode of vibration in a pipe open on one side and closed on the end. Label the points where the nodes and antinodes occur