Rain is falling vertically with a speed of `30 m s^-1`. A woman rides a bicycle with a speed of `10 m s^-1` in the north to south direction. What is the direction in which she should hold her umbrella?

Rain is falling vertically vertically with a speed of 35 ms^-1 . Wind starts blowing after sometime with a speed of 12ms^-1 in east to west direction. In which direction should a boy waiting at a bus top hold umbrella?

A player throws a bail upwards with an initial speed of 29.4 m s^-1 . What is the direction of acceleration during the upward motion of the ball?

A vehicle moving with a speed of 18 km h-^1covers……….m in 1 s.

Thief's car is moving with a speed of 10m/s . A police van chasing the car with a speed of 5 ms^-1 fires a bullet at the thief's car with muzzle velocity 72km/h. The speed with which the bullet hits the car is

On a two-lane road, car A travelling with a speed of 15ms^-1 is approached by two cars B and C moving with speed 20 ms^-1 each in opposite directions. At an instant when the distance AB is equal to AC , both being 700 m, B decides to overtake A before C does. Find the minimum acceleration required by B to avoid accident.

A stone is thrown in a vertically upward direction with a velocity of 5 m s^1 . If the acceleration of the stone during its motion is 10m s^-2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

A train 150 m in length is moving north at a speed of 10m/s. A parrot flies at a speed of 5m/s towards south parallel to the railway track. The time taken by the parrot to cross the train is

150 m long train is moving to north at a speed of 10 m/s. A parrot flying towards S0uth with a speed of 5 m/s crossed the train. The time taken by the parrot to cross the train would be :

A police van moving on a highway with a speed of 30 km h_ 1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 192 km h^-1 . If the muzzle speed of the bullet is 150 m s^1 with what speed does the bullet hit the thief’s car ? (Note: Obtain that speed which is relevant for damaging the thief’s car).

A sound wave travels at a speed of 339 m s^-1 . If its wavelength is 1.5 cm, what is the frequency of the wave? Will it be audible?