A man running at a speed of 5 km/h finds that the rain is falling vertically. When he stops running, he finds that the rain is falling at an angle of 60o with the horizontal. The velocity of rain with respect to running man is

Question

A man running at a speed of 5 km/h finds that the rain is falling vertically. When he stops running, he finds that the rain is falling at an angle of 60o with the horizontal. The velocity of rain with respect to running man is (A) (5/√3) km/h (B) (5 √3/2) km/h (C) (4 √3/5) km/h (D) 5√3 km/h

Tardigrade Admin · Accepted Answer

Vr= textvelocity of rain textV textrm= text velocity of rain with respect to man textV textm= text velocity of man <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-ghgf4hrlvkvt.png" /> tan 30o=(Vm/Vr m) Vr m=(5/(1)√3)=5√3 km/h

Q. A man running at a speed of $5 km / h$ finds that the rain is falling vertically. When he stops running, he finds that the rain is falling at an angle of $6 0^{o}$ with the horizontal. The velocity of rain with respect to running man is

$\frac{5}{3} km / h$

$\frac{5 3}{2} km / h$

$\frac{4 3}{5} km / h$

$53 km / h$

$V_{r} = velocity of rain V_{rm} = velocity of rain with respect to man V_{m} = velocity of man$

$t an 3 0^{o} = \frac{V _{m}}{V _{r m}}$
$V_{r m} = \frac{5}{\frac{1}{3}} = 53 km / h$

Q. A man running at a speed of 5km/h finds that the rain is falling vertically. When he stops running, he finds that the rain is falling at an angle of 60o with the horizontal. The velocity of rain with respect to running man is

3​5​km/h

253​​km/h

543​​km/h

53​km/h