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A man standing on a road has to hold his...

A man standing on a road has to hold his umbrella at `30^0` with the veetical to keep the rain away. The throws the umbrella and starts running at 10 km/h. He finds tht raindrops are hitting his head vertically. Find the speed of raindrops with respect to a. the road, b. the moving man.

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To solve the problem, we need to analyze the situation step by step using the concepts of relative motion and vector components. ### Step 1: Understanding the Situation A man is standing on the road and holds his umbrella at an angle of \(30^\circ\) with the vertical. This means that the rain is falling at an angle of \(30^\circ\) to the vertical when he is stationary. When he starts running at a speed of \(10 \text{ km/h}\), he observes that the rain is now hitting him vertically. ### Step 2: Setting Up the Components 1. **Velocity of Rain with respect to the Ground (V_rg)**: - The rain has both vertical and horizontal components. ...
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A man standing on a road has to hold his umbrella at 30^(@) with the vertical to keep the rain away. He throws the umbrella and starts running at 10km/hr. He finds that rain drop are hitting his head vertically. Find the speed of rain drops with respect to (a) road (b) the moving man.

A person standing on a road has to hold his umbrella at 60^(0) with the verticcal to keep the rain away. He throws the umbrella an starts running at 20 ms^(-1) . He finds that rain drops are hitting his head vertically. Find the speed of the rain drops wigh respect to (a) the road (b) the moving person.

Knowledge Check

  • A man running with velocity 3m//s finds that raindrops are hitting him vertically with a speed of 4m//s . Magnitude of velocity of the raindrops is

    A
    `3 m//s`
    B
    `4 m//s`
    C
    `5 m//s`
    D
    `6 m//s`

  • A man running with velocity 3m//s finds that raindrops are hitting him vertically with a speed of 4m//s . Raindrops are falling at an angle theta with the vertical. Value of theta is

    A
    `37^(@)`
    B
    `53^(@)`
    C
    `45^(@)`
    D
    `60^(@)`

  • Statement -1 : A man standing on the ground has to hold his umbrella at an angle theta with the vertical to protect himself from rain. It is possible that the man now starts running on the ground with certain speed, but he still has to hold his umbrella at angle theta with the vertical to protect himself from rain. Statement -2 : Vertical component of velocity of rain w.r.t man does not change. if he starts running on a horizontal ground.

    A
    Statement -1 is Ture, statement -2 is Ture, Statement -2 is a correct explanation for statement -1 .
    B
    Statement -1 is True, statement -2 is True, statement - 2 is NOT a correct explanation for statement -3
    C
    Statement -1 is True, Statement -2 si False
    D
    Statement -1 is False ,Statement -2 is True.

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    A person walking ,on a horizontal road at 2 km/h finds that the rain is falling vertically . Now the person increasses his speed to 4 km/h and find that rain makes an angle 45^(@) with the vertical . Find the velocity of rain with respect to the road.

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