The wind is blowing due south with speed of 3m/sec. How fast should a car travel due east in order that the wind shall hasve a speed of 5m/sec relative to the car.

A car is going in south with a speed of 5m//s . To a man sitting in car a bus appears to move towards west with a speed of 2sqrt(6)m//s . What is the actual speed of the bus?

a. A rail road flat car of mass M can roll without friction along a straight horizontal track . Initially, a man of mass m is standing on the car which is moving to the right with speed v_(0) . What is the change in velocity of the car if the man runs to the left so that his speed relative to the car is v_(rel) just before he jumps off at the left end? b. If there are n men each of mass m on the car, should they all run and jump off together or should they run and jump one by one in order to give a greater velocity to the car?

A person moves due east at speed 6m/s and feels the wind is blowing to south at speed 6 m/s. (a) Find actual velocity of wind blow. (b) If person doubles his velocity then find the relative velocity of wind blow w.r.t. man.

At a harbour, a boat is standing and wind is blowing at a speed of sqrt(2)m//sec. due to which , the flag on the boat flutters along north - east. Now the boat enters in to river, which is flowing with a velocity of 2m//sec . Due north. The boat starts with zero velocity relative to the river and its constant acceleration relative to the river is 0.2m//sec^(2) due east. In which direction will the flag flutter at 10 seconds ?

A source is moving with constant speed upsilon_(s) = 20 m//s towards a stationary observer due east of the source. Wind is blowing at the speed of 20 m//s at 60^(@) north of east. The source has frequency 500 H_(Z) . Speed of sound = 300 m//s . The frequency resgistered by the observer is approximately

A plane moves in windy weather due east while the pilot the plane somewhat south of east. The wind is blowing at 50 km/h directed 30^(@) east of north, while the palne moves at 200 km/h relative to the wind . What is the velocity of the plane relative to the ground and what is the direction in which the pilot points the palne ?

An aeroplane has to go from a point A to another point B, 500 km away due 30^@ east of north. Wind is blowing due north at a speed of 20 m//s. The air-speed of the plane is 150 m//s. (a) Find the direction in which the pilot should head the plane to reach the point B. (b) Find the time taken by the plane to go from A to B.

A car is moving towards south with a speed of 20 m s^(-1) . A motorcycst is moving towards east with a speed of 15 m s^(-1) . At a crttain instant, the motorcyclistis due south of the car and is at a distance of 50 m from the car. The shortest distance between the motorcyclist and the car is.

A parrot is flying due east at a speed of 5 m/s. A train 300 m long is also travelling due east at a speed of 15 m/s. Both parrot and train are moving in same straight line and train is 100 m behind the parrot at t=0. Then how long will train take to overtake the parrot completely?

A car fitted with a device which transmits sound 60 times per minute. There is no wind and speed of sound in still air is 345 m/s. If you hear the sound 68 times per minute when you are moving towards the car with a speed of 12 m/s, the speed of the car must be nearly.