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A car runs along a horizontal path at speed of 20m/s.The driver observes the rain hitting his car at 60 to vertical.If rain is actually falling vertically then what is speed of rain drop

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whitneytr12

Answer:

The speed of the raindrop is 11.55 m/s.

Explanation:

We need to find the speed of the rain in the "y" direction. We have:

[tex]v_{r}[/tex]: speed of the raindrop at 60° (vertical) =?

[tex]v_{c}[/tex]: speed of the car = 20 m/s (in the "x" direction)

Hence, the speed of the car and the speed of the raindrop are related by:

[tex]tan(\theta) = \frac{v_{c}}{v_{r}}[/tex]        

[tex] v_{r} = \frac{v_{c}}{tan(60)} = \frac{20}{tan(60)} = 11.55 m/s [/tex]

Therefore, the speed of the raindrop is 11.55 m/s.

I hope it helps you!      

Cricetus

The speed of the raindrop will be "11.55 m/s".

According to the question,

  • Speed of car, [tex]v_c = 20 \ m/s[/tex]

Let,

  • The speed of rain be "y".

As we know the formula,

→ [tex]tan (\Theta) = \frac{v_c}{v_r}[/tex]

or,

→ [tex]v_r = \frac{v_c}{tan (60)}[/tex]

By putting the values, we get

       [tex]= \frac{20}{tan (60)}[/tex]

       [tex]= 11.55 \ m/s[/tex]

Thus the above answer is right.

Learn more about speed here:

https://brainly.com/question/18076916

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