Home
Class 11
PHYSICS
To a man running upwards on the hill, th...

To a man running upwards on the hill, the rain appears to fall vertically downwards with `4 m s^-1`. The velocity vector of the man w.r.t. earth is `(2 hat i + 3 hat j) ms ^-1`. If the man starts running down the hill with the same speed, then determine the relative speed of the rain w.r.t. man.
.

Text Solution

Verified by Experts

Velocity of rain w.r.t. man, `vec v_(r,m) = vec v_r - vec v_m`
`-4 hat j = 2 hat i - hat j`
When man starts running down,
`vec v'_(r,m) =vec v_r - vec v_m = 2 hat i - hat j + 2 hat i + 3 hat j = 4 hat i + 2 hat j`
Speed `=|vec v_(r,m)| = sqrt(16 + 4) = sqrt(20) ms^-1`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS-2

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 5.4|11 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Subjective|40 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 5.2|25 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|9 Videos

  • KINETIC THEORY OF GASES

    CENGAGE PHYSICS ENGLISH|Exercise Compression|2 Videos

Similar Questions

Explore conceptually related problems

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.

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 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 ?

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 is walking with 3 m//s, due east. Rain is falling vetically downwards with speed 4 m//s. Find the direction in which man should hold his umbrella, so that rain does not wet him.

Raindrops are falling with velocity 10 sqrt2 m/s making and angle 45^(@) with the vertical. The drops appear to be falling vertically to a man running with constant velocity . The velocity of rain drops change such that the rain drops now appear to be falling vertically with sqrt3 times the velcoity it appeared earlier to the same person running with same velocity . After the velocity of rain drops change the magnitude of velocity of raindrops with respect to ground is

Raindrops are falling with velocity 10 sqrt2 m/s making and angle 45^(@) with the vertical. The drops appear to be falling vertically to a man running with constant velocity . The velocity of rain drops change such that the rain drops now appear to be falling vertically with sqrt3 times the velcoity it appeared earlier to the same person running with same velocity . The angle ( in degrees) between the initial and final velocity of rain drops with respect to ground.

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. Find the speed and direction of the rain with respedt to the road.

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.

Raindrops are falling with velocity 10 sqrt2 m/s making and angle 45^(@) with the vertical. The drops appear to be falling vertically to a man running with constant velocity . The velocity of rain drops change such that the rain drops now appear to be falling vertically with sqrt3 times the velcoity it appeared earlier to the same person running with same velocity . The magnitude of velocity of man w.r.t ground is