a person is standing on a road with his open umbrella at 30 degree with vertical to save himself d - Physics - Motion In A Straight Line

Question

a person is standing on a road with his open umbrella at 30
degree with vertical to save himself d starts running from wetting
then he throws his umbrella and starts running at 5kmperh now he
find that raindrops are hitting his head vertically find the speed
of rain drops w r t road and the moving person

Somnath physics · Accepted Answer

Let the velocity of the man w r t road = Vm,g Velocity
of rain w r t road = Vr,g and velocity of rain w r t man
= Vr,mÂ­

Here,

Vm,r = 5 kmph

Î¸ = 300

From the figure

Vm,g = Vr ,g sin300

=> Vr,g = Vm,g/sin300

=> Vr,g = 5Ã—2 = 10 kmph

Again,

Vr,m = Vr ,g cos300

=> Vr,m = 10Ã— âˆš3/2
= 5âˆš3 kmph