Men are running in a line along a road with velocity `9(km)/(hr)` behind one another at equal intervals of 20m .Cyclist are also riding along the same line in the same direction at `18(km)/(hr)` at equal intervals of 30m .The speed in km/h with which an observer must travel along the road in opposite direction so that whenever meets a runner he also meet a cyclist is .....

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 of it meets these two cars at an interval of 4 minutes, will be.

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 of it meets these two cars at an interval of 4 minutes, will be.

A 175 m long train is travelling along a straight track what a velocity 72 km h^(-1) . A bird is flying parallel to the train in the opposite direction with a velocity 18 kmh^(-1) . The time taken by the bird to cross the train is

Rain is falling vertically with a velocity of 4 km hr^(-1) . A cyclist is going along a horizontal road with a velocity of 3 km hr^(-1) towards cast. Calculate the relative velocity of the rain with respect to the cyclist. In what direction must the cyclist hold his umbrella to save himself from the falling rain ?

A player kicks a ball at a speed of 20ms^(-1) so that its horizontal range is maximum. Another players 24m away in the direction of kick starts running in the same direction at the same instant of hit. If he has to catch the ball just before it reaches the ground, he should run with a velocity equal to (take g=10ms^(-2))

Two swimmers start at the same time from point A one bank of a river to reach point B on the other bank, lying directly oppostie to point A. one of them crosses the river along the straight line AB, while the other swims at right angles to the stream and then walks the distance, which he has been carried awayby the stream to get to point B. Both swimmers reach point B at the same time. what was the velocity (assumed uniform) of his walking if velocity of both the swimmers in still water is 2.5 km h^(-1) and the stream velocity is 2 km h^(-1) ?

Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10 m/s. After travelling certain distance a boy jumps from the cart with a speed of 2 m/s with respect to cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. Answer the following questions. The speed of the cart after first boy has jumped out is

Momentum is the ability of imparting or tending to import motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula vec(p)= m vec(v) . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10 m/s. After travelling certain dfistance a boy jumps from the cart with a speed of 2 m/s with respect to cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. Answer the following questions. The speed of the cart after second boy jumps will

A railway track runs parallel to a road until a turn brings the road to railway crossing. A cyclist rides along the road every day at a constant speed 20 km//hr . He normally meets a train that travels in same direction at the crossing. One day he was late by 25 minutes and met the train 10 km before the railway crossing. Find the speed of the train.

A car A is moving with speed "40 km h"^(-1) along a straight line 30^(@) north of east and another car B is moving with same speed along a straight line 30^(@) south of east. The relative velocity of car A as observed from the car B is