Of the three traveling waves listed below, which one(s) is (are) traveling in th

Question

Of the three traveling waves listed below, which one(s) is (are) traveling in the +x direction? (1) y = +3.2 sin [4.1t + 2.3x] (2) y = -6.8 sin [-3.0t + 1.5x] (3) y = +4.9 sin [12.0t + 18x] A) 1 only B) 2 only C) 3 only D) 1, 2, and 3 E) 2 and 3 only Two fans are watching a baseball game from different positions. One fan is located directly behind home plate, 18.3 m from the batter. The other fan is located in the centerfield bleachers, 127 m from the batter. Both fans observe the batter strike the ball at the same time (because the speed of light is about a million times faster than that of sound), but the fan behind home plate hears the sound first. What is the time difference between hearing the sound at the two locations? Use 345 m/s as the speed of sound.

Explanation / Answer

direction of wave is determined by the sign, ( -ve sign for wave travelling in + x direction)

option B

b)tim e= distance / speed

t1= 18.3/ 345 = 0.053 seconds apprx

t2= 127/345= 0.368 seconds apprx

time difference= 0.315 seconds apprx

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