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A train travels due south at 25 m/s (relative to the ground) in a rain that is blown toward the south by the wind. The path of each raindrop makes an angle of 66° with the vertical, as measured by an observer stationary on the ground. An observer on the train, however, sees the drops fall perfectly vertically. Determine the speed of the raindrops relative to the ground.

Respuesta :

Answer:

Explanation:

Given

Train travels towards south with a velocity if [tex]v_t=25\ m/s[/tex]

Rain makes an angle of [tex]\theta =66^{o}[/tex]  with vertical

If an observer sees the drop fall perfectly vertical i.e. horizontal component of rain velocity is equal to train velocity

suppose [tex]v_r[/tex] is the velocity of rain with respect to ground then

[tex]v_r\sin\theta =v_t[/tex]

[tex]v_r\times \sin (66)=25[/tex]

[tex]v_r=27.36\ m/s[/tex]

Therefore velocity of rain drops is 27.36 m/s              

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