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during rain the resultant vector of the rain (downwards) and that of a man walking forward (horizontal) is always in the direction of man, but that should mean that we should tilt the umbrella at a specific angle backwards , but practically we hold it inclined forward why is thus happening?

during rain the resultant vector of the rain (downwards) and that of a man walking forward (horizontal) is always in the direction of man, but that should mean that we should tilt the umbrella at a specific angle backwards , but practically we hold it inclined forward why is thus happening?         

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
3 years ago
Answer :
Here, velocity of man is Vm, and that of rain is Vr. Relative velocity is given by (Vr - Vm). But, these velocities are vector, so we have to apply subtraction of vectors.
For this, we take one vector in reverse direction and then apply vector addition. In simple words we are doing vector addition on (Vr) and (-Vm) and not (+Vm)
Here, you have to subtract Vm from Vr, so reverse the direction of Vm (It becomes -Vm) and then do vector addition of Vr and -Vm. Its direction will be from forward rather than backwards. Hence, you'll have to tilt your umbrella in forward direction otherwise you'll get wet.
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