Home
Class 12
PHYSICS
A man running on the horizontal road at ...

A man running on the horizontal road at ` 8 km h^(-1)` find the rain appears to be falling vertically. He incresases his speed to `12 km h^(-1)` and find that the drops make angle ` 30^2` with the vertical. Fin dthe speed and direction of the rain with respedt to the road.

Text Solution

Verified by Experts

Let the speed of rain with respect to the road is v and the angle formed by rain with vertical is 0.

For the first case
8 = v sin 0.......(i)
For the second case
`12 = v sin 0 +u sin 30^(@)........(ii)`
and `u cos 30^(@) =v cos 0........(iii)`
From (i) and (ii)
`12=8 + u sin 30^(@) rarr u =8 km//h.....(iv)`
From (iii) and (iv) `v cos 0 =sqrt(3)`
`? v^(2)=8^(2) +(4 sqrt(3))^(2) rarr v=4 sqrt(7) km//h`
Promotional Banner

Similar Questions

Explore conceptually related problems

A man running on a horizontal road at 6 km//h finds the rain falling vertically. He doubles his speed and find that the raindrops make an angle 37^(@) with the vertical. Find the velocity of rain with respect to the ground.

A person walking ,on a horizontal road at 2 km/h finds that the rain is falling vertically . Now the person increasses his speed to 4 km/h and find that rain makes an angle 45^(@) with the vertical . Find the velocity of rain with respect to the road.

A man is walking due East at a rate of 5 km h^(-1) and the rain appears to be falling verticall with a speed of 12 km h^(-1) . Find the actual speed and direcction of rain with vertcal .

A man walking with a speed of 3 km/h finds the rain drops falling vertically downwards. When the man increases his speed to 6km/h he find that the rain drops are falling making an angle of 30^(@) with the vertical . Find the speed of the rain drops ( in km/h)

To a man walking at the rate of 3 km//h the rain appear to fall vertically downwards. When he increases his speed 6 km//h it appears to meet him at an angle of 45^@ with vertically. Find the speed of rain.

To a man walking due east at the rate of 2kmh^(-1) , rain appears to fall vertically. When he increases his speed to 4kmh^(-1) , its appears to meet him at an angle of 45^(@) . Find the real direction and speed of rain.

A man moving with 5 ms^-1 observes rain falling vertically at the rate of 10 m s^-1 . Find the speed and direction of the rain with respect to ground.

A man running along a straight road with uniform velocity vecu=uhati feels that the rain is falling vertically down along - hatj . If he doubles his speed, he finds that the rain is coming at an angle theta with the vertical. The velocity of the rain with respect to the ground is

To a man going with a speed of 5 ms^-1 , rain appears to be falling vertically. If the actual speed of rain is 10 m s^-1 , then what is the angle made by rain with the vertical ?