A man sitting in a bus travelling in a direction from west to east with a speed of $40 \,km/h $observes that the rain-drops are falling vertically down. To the another man standing on ground the rain will appear
To fall vertically down
To fall at an angle going from west to east
To fall at an angle going from east to west
The information given is insufficient to decide the direction of rain.
A stationary man observes that the rain is falling vertically downward. When he starts running with a velocity of $12\,\,km/h$ he observes that the rains is falling at an angle $60^o$ with the vertical. The actual velocity of rain is
An airplane airspeed indicator reads $100 \,m / s$ and its compass shows that it is heading $37^{\circ}$ east of north. The meteorological information provided to the navigator is that the wind velocity is $20 \,m / s$ towards east. The speed of the airplane relative to the ground is closest to ............ $\,m / s$
Ram moves in east direction at a speed of $6 \,m / s$ and Shyam moves $30^{\circ}$ east of north at a speed of $6 \,m / s$. The magnitude of their relative velocity is ........ $m / s$
Figure shows two ships moving in $x-y$ plane with velocities $V_A$ and $V_B$. The ships move such that $B$ always remains north of $A$. The ratio $\frac{V_A}{V_B}$ is equal to ........
Two cars are moving in the same direction with the same speed $30 \,km/hr$. They are separated by a distance of $5\, km$, the speed of a car moving in the opposite direction if it meets these two cars at an interval of $4$ minutes, will be.......$km/hr$