Raindrops are falling straight downward. When observed from a car traveling at 55.0 mi/h, the drops streak the side window at an angle of 60.0° with the vertical. Find the speed with which the drops are falling.

Respuesta :

Explanation:

It is given that,

Speed of the car, [tex]v_c= 55\ mi/h = 24.58\ m/s[/tex]

The drops makes an angle of 60 degrees with the vertical. The attached figure shows the whole description. [tex]v_r[/tex] is the speed with which the drops are falling.

Using trigonometry in the attached figure,

[tex]tan\ 60=\dfrac{v_c}{v_r}[/tex]

[tex]v_r=\dfrac{v_c}{tan\ 60}[/tex]

[tex]v_r=\dfrac{24.58}{tan\ 60}[/tex]

[tex]v_r=14.19\ m/s[/tex]

So, the speed with which the drops are falling is 14.19 m/s. Hence, this is the required solution.

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