Motion in A Str...

Two towns are connected through a straight highway. A car runs between two towns with constant speed $$36\ km/hr$$. One day track of $$100m$$ is to be covered with speed $$18\ km/hr$$. For this car accelerates and retards at rate $$1\ { m/sec }^{ 2 }$$. By what time the car will get delayed that day. (When car reaches at any town its speed is $$36\ km/hr$$.)

Particle has initial velocity $$9\ ms^{-1}$$ due east and constant acceleration of $$2\ ms^{-2}$$ due west. If the distance covered by it in fifth second of its motion is $$\dfrac{n}{10}m$$, then the value of $$'n'$$ is:

For a particle undergoing rectilinear motion with uniform acceleration , the magnitude of displacement is one third the distance covered in some time interval. The magnitude of final velocity is less than magnitude if initial velocity for this time interval. Then the ratio of initial speed to the final speed for this time interval is:

A stone thrown upwards with speed $$u$$ attains maximum height $$h$$. Another stone thrown upwards from the same point with sapped $$2u$$ attains maximum height $$H$$. What is the relation between $$h$$ and $$H$$?

Two trains one of length $$100\ m$$ and another of length $$125m$$, are moving in mutually opposite directions along parallel lines, meet each other, each with speed $$10m/s$$. If their acceleration are $$0.3m/{s}^{2}$$ and $$0.2m/{s}^{2}$$ respectively, then the time they take to pass each other will be 

Two guns are mounted (fixed) on two vertical cliffs that are very high from the ground as shown in figure. The muzzle velocity of the shell from $${G}{1}$$ is  $${u}{1}$$ and that from  $${G}{2}$$ is  $${u}{2}$$. The guns aim exactly towards each other The ratio  $${u}{1}:{u}{2}$$ such that the shells collide with each other in air is (Assume that there is no resistance of air)

A car starting from rest, is accelerated at a constant rate $$ \alpha $$ until it attains a speed $$V$$ . It is then retarded at a constant rate $$\beta $$ until it comes to rest. The average speed of the car during its entire journey is :

A particle starts from rest and travels a total distance of 18m along a straight path.The first half of the distance was travelled with a uniform acceleration of 2 $$ms^{-2}$$ and the rest uniform velocity.The average velocity for the whole journey is (in $$ms^{-1}$$)

A barometer kept in an elevator reads $$76 cm $$ when it is at rest. What will be barometric reading when the elevator accelerates upwards?

A machine gun is mounted on a $$2000 kg $$ vehicle on a horizontal smooth road (friction negligible). The gun fires $$10 $$ bullets per sec with a velocity of $$500 m/s $$ . If the mass of each bullet be $$10 g $$ , what is the acceleration produced in the vehicle?