1a. Two sinusoidal waves travel in the same direction and have thesame frequency

Question

1a. Two sinusoidal waves travel in the same direction and have thesame frequency. Their amplitudes are y1m andy2m. The smallest possible amplitude of the resultantwave is: y1m +y2m and occurs if they are in phase
|y1m -y2m| and occurs if they are 90° out ofphase
|y1m -y2m| and occurs if they are 180° out ofphase
|y1m -y2m| and occurs if they are in phase
y1m +y2m and occurs if they are 180° out of phase
1b. Any point on a string carrying a sinusoidal wave is moving withits maximum speed when: the magnitude ofits displacement is a maximum
the magnitude ofits displacement is a minimum
the magnitude ofits displacement is one-fourth the amplitude
the magnitude ofits acceleration is a maximum
the magnitude ofits displacement is half the amplitude Pls assist with these questions. Thx

Explanation / Answer

1a. Two sinusoidal waves travel in the same direction and have thesame frequency. Their amplitudes are y1m andy2m. The smallest possible amplitude of the resultantwave is: y1m +y2m and occurs if they are in phase |y1m -y2m| and occurs if they are 90° out ofphase |y1m - y2m| and occurs if they are180° out of phase |y1m -y2m| and occurs if they are in phase y1m +y2m and occurs if they are 180° out of phase 1b. Any point on a string carrying a sinusoidal wave is moving withits maximum speed when: the magnitude ofits displacement is a maximum the magnitude of its displacement is aminimum the magnitude ofits displacement is one-fourth the amplitude the magnitude ofits acceleration is a maximum the magnitude ofits displacement is half the amplitude

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