A girl riding a bicycle with a speed of 5 m/s towards north direction, observes rain falling vertically down. If she increases her speed to 10 m/s, rain appears to meet her at 45° to the vertical. What is the speed of the rain? In what direction does rain fall as observed by a ground based observer?

0 3 Views | Posted 3 months ago
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    Answered by

    Vishal Baghel | Contributor-Level 10

    3 months ago

    This is a Long Answer Type Question as classified in NCERT Exemplar

    Explanation – Vr= a? +b?

    Velocity vg= 5m/s

    Velocity of rain w.r.t girl = Vr-Vg= a? +b? -5?

    = (a-5)? +b?

    a-5=0, a=5

    case II 

    vg = 10m/s?

    Vrg= Vr - Vg

     = a? +b? -10? = (a-10)? +b?

    Rain appear to be fall at 45 degree so = b/a-10 =1

    So b =-5

    Velocity of rain = a? +b?

    Vr = 5? -5?

    Speed of rain Vr= 5 2 + ( - 5 ) 2 = 5 2 m / s

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  a = v 0 2 R

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ω = θ² + 2θ
α = (ωdω)/dθ = (θ² + 2θ) (2θ + 2)
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