Raindrops are falling vertically at a speed of 120 km/h through air that is moving horizontally at a speed of 40 km/h(i.e. the wind is 40 km/h). At what angle do the drops strike the ground?

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Raindrops are falling vertically at a speed of 120 km/h through air that is moving horizontally at a speed of 40 km/h(i.e. the wind is 40 km/h). At what angle do the drops strike the ground?

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Answer 1 · 2017-10-03T17:11:20

$18^{\circ}$ $18^@$ from vertical or $72^{\circ}$ $72^@$ from horizontally.

Explanation:

enter image source here

Air is moving horizontally with 40 km/h speed
Horizontal velocity vector of Air is shown in figure.

Velocity Vector of Raindrops is vertically downward .
Let resulting Velocity of Raindrops makes angle $θ$ $theta$ from the
vertical.
Then angle
$tan θ = \frac{v_{Horizontal}}{v_{vericle}} = \frac{40}{120} = \frac{1}{3}$ $tantheta=v_"Horizontal"/v_"vericle"=40/120=1/3$

$θ = {tan}^{- 1} (\frac{1}{3}) \approx 18^{\circ}$ $theta=tan^-1(1/3)approx18^@$

Hence Raindrops makes angle $18^{\circ}$ $18^@$ from the vertical or make angle $72^{\circ}$ $72^@$ from Horizontal.

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Raindrops are falling vertically at a speed of 120 km/h through air that is moving horizontally at a speed of 40 km/h(i.e. the wind is 40 km/h). At what angle do the drops strike the ground?

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Explanation:

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