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?
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?
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1 Answer
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This is a Long Answer Type Questions 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=
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