Two train 100 m and 89 m in length are running in opposite directions with a velocity 40 km/hr and 30 km/hr. At what time they will completely cross each other.

Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m/s and 1 m/s, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m/s. Determine the velocity of the second object.

Two objects, each of mass 1.5 kg, are moving in the same straight line but in opposite directions. The velocity of each object is 2.5 m s^-1 before the collision during which they stick together. What will be the velocity of the combined object after collision?

Onna two-lane road, car A is travelling with a speed of 36 km h_1. Two care B and C approach car A in opposite directions with a speed of 54'km h_1 each. vAt a certain instant, when the distance AB is equal to AC, both being 1 km,* B’ decides to overtake A before C does. What minimum acceleration of car B is required to avoid an accident?

A train 100 m long is moving with a velocity of 60 km/hr. Find the time it takes to cross the bridge 1km long.

Two billiard balls each of mass 0.05 kg moving in opposite directions with speed 6 m s~1 collide and rebound with the same speed. What is the impulse imparted to each ball due to the other?

A cricket ball is vertically thrown up with a velocity 20 m/s. If the acceleration' - in the opposite direction is 10 m//s^2 , how high will the ball rise? What time will it take to reach the maximum height?

A train 100 m long is moving with the velocity of 72 km/hr. Find the time it takes to cross the bridge which is 2 km long?

Two aeroplane A and B are approaching each other and their velocities are 108 km/hr and 144 km/hr respectively.The frequency of a note emitted by Aas heard by the passenger in B is 1170 Hz.Calculate the frequency of the note heard by the passenger in A.[velocity of sound 350 m(s)^-1 ].

A swimmer can swim with Velocity of 10 km/h. w.r.t, the water flowing in a river with velocity of 5 km/h. In what direction should he swim to reach the point on the other bank just opposite to his starting point?

Two straight wires A and B of lengths 10 m cach carrying currents of 4.0 A and 6.0 A in opposite directions lic parallel to each other at a distance of 2 cm. Estimate the force on a 10 cm section of the wire B near its centre.