Rain is falling vertically with a velocity of $$25$$ $$ms-1$$. A woman rides a bicycle with a speed of $$10$$ $$ms-1$$ in the north to south direction. What is the direction (angle$$ with $$vertical) in which she should hold her umbrella to safe herself from rain?

Question

Rain is falling vertically with a velocity of $$25$$ $$ms-1$$. A woman rides a bicycle with a speed of $$10$$ $$ms-1$$ in the north to south direction. What is the direction (angle$$ with $$vertical) in which she should hold her umbrella to safe herself from rain?

Infinity Learn · Accepted Answer

Here, vR $$=$$ $$25$$ $$ms-1$$, $$vw=$$ $$10$$ $$ms-1$$            Velocity of rain w.r.t. woman :            Let vRvw make an angle θ with verticaltanθ$$=vWvR=102.5=0.4She$$ should hold her umbrella at an angle of θ $$=$$ $$tan$$$$-1(0.4)$$ with the vertical towards south.

Rain is falling vertically with a velocity of 25 m $s^{- 1}$ . A woman rides a bicycle with a speed of 10 m $s^{- 1}$ in the north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to safe herself from rain?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Rain is falling vertically with a velocity of 25 ms-1. A woman rides a bicycle with a speed of 10 ms-1 in the north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to safe herself from rain?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Rain is falling vertically with a velocity of 25 m $s^{- 1}$ . A woman rides a bicycle with a speed of 10 m $s^{- 1}$ in the north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to safe herself from rain?