EASY
11th West Bengal Board
IMPORTANT
Earn 100

A shell from a naval gun barrel 3 m long has a muzzle velocity of 820 ms-1. Find the average speed of the shell while being accelerated in the gun barrel.

Important Questions on Motion of a Particle

MEDIUM
11th West Bengal Board
IMPORTANT
A shell from a naval gun barrel 3 m long has a muzzle velocity of 820 ms-1. Find time taken to travel the length of the barrel
MEDIUM
11th West Bengal Board
IMPORTANT
A shell from a naval gun barrel 3 m long has a muzzle velocity of 820 ms-1. Find the acceleration.
MEDIUM
11th West Bengal Board
IMPORTANT
Two trains are approaching each other along the same straight line with velocites 10 ms-1 and 12 ms-1 respectively. When the distance between them is 150 m, each driver applies brakes to produce a retardation of 1 ms-2 in each train. Find whether there will be a collision or not.
MEDIUM
11th West Bengal Board
IMPORTANT
Two trains each of length 100 m, moving in opposite directions along parallel lines meet with their speed 60 kmh-1 and 30 kmh-1. If their accelerations are 0.3 ms-2 and 0.2 ms-2 respectively, find the time taken by them to pass each after.

 

MEDIUM
11th West Bengal Board
IMPORTANT
Two trains are approaching each other on the same line with velocities u1 and u2. When their distance apart is s, they see each other and at once pull the brakes. If the retardations of the trains be a1 and a2 respectively, show that it is just possible to avoid a collision if u12a2+u22a1=2a1a2s.
HARD
11th West Bengal Board
IMPORTANT
Two electric trains travel one after another 2 km apart on the same track at a speed of 20 ms-1. A third train is sighted by the first train at a distance of 2.2 km ahead and he immediately sounds his horn. All the drivers apply equal brakes simultaneously. If the first two trains stop after covering a distance of 1.2 km each, what is the speed at which the train was approaching them? (Collision is just avoided).
MEDIUM
11th West Bengal Board
IMPORTANT
Two trains are running along the same line and with same speed 30 kmh-1. The distance apart between the trains is 5 km. What would be the speed of another train, coming from the opposite direction so that it will meet the other two trains at an interval of 4 minutes ?
MEDIUM
11th West Bengal Board
IMPORTANT
A particle, moving with constant acceleration takes a definite time to cross the distance between two points. What will be the values of its velocity

when the particle reaches the mid-point of the distance between the two points