Question

A man running on horizotal ground at a speed
5 ms, rain appears to fall vertically. Man running
at a speed 10 ms?, rain appear to fall an angle
45° with vertical. Then the speed of the rain with
respect to ground is​

I will mark as brainlist

Answer 1

Answer:

Explanation:

A man running on a horizontal road at 8km/h finds the rain falling vertically. He increases his speed to 12km/h and finds that the drops make angle 30 degree with the vertical. Find the speed and direction of rain with respect to the road.

Please help me out in making a diagram for this one.

Thanks.

3 years ago

Answers : (2)

Since when the person runs at 8 km/h the rain seems to be coming verticaly down thus the horizontal component of rain, Vx is 8 km/h

When he incrreases his relative speed by 4 km/h with the horizontal component of rain, it seems to fall at an angle of 30 degrees with the vertical.

It means the vertical component, Vy is: 4/Vy = tan 30

i.e.

Vy = 6.93 km/h

V = 10.58 km/h

and angle of falling is: tan-1(8/6.93)

3 years ago

When the man runs at 8 km/hr ☔️ rain falling along y axis and when he runs at 12 km/hr the angle with y axis is 30 degrees

So by relative velocity we can stop the man in case 1 and decrease the speed in case 2 by 8km/hr.

So now relative speed is 4 km/hr along horizontal and angle with vertical is 30 degrees.

Tan 30 = x/4

Calculate (x) which is speed of rain wrt ground

Answer is 4*root3