Miscellaneous T...

A bullet of mass 0.05 kg travelling at 120 metres/sec penetrates deeply into a fixed target and is brought to rest in 0.01 sec. The distance through which it penetrates the target

A person travelling on a straight line moves with uniform velocity v₁ for some time and with uniform velocity v₂ for the next equal time. The average velocity p is given by

A particle starts with a velocity of 200 cm/sec and moves in a straight line with a retardation of 10 cm/sec². Then the time it takes to describe 1500 cm is

A bullet moving at 100 m/sec is fired into a wood-block in which it penetrates 50 cm. If the same bullet moving with the same velocity were fired into a similar piece of wood but only 12.5 cm thick, then the velocity with which it emerges is

Two points A and B move from rest along a straight line with constant acceleration f and f\' respectively. If A takes m sec more than B and describes n unit more than B in acquiring the same speed, then

A lizard, at an initial distance of 21 cm behind an insect, moves from rest with an acceleration of 2 cm/s² and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm/s. Then the lizard will catch the insect afte

If a particle is thrown vertically upwards with a velocity of u cm/sec under gravity, then the time for the particle to come to earth again is

If a particle is projected vertically upwards and is at a height t₁ after seconds and again after t₂ seconds, then h

A house has multi-storeys. The lowest storey is 20 ft high. A stone which is dropped from the top of the house passes the lowest storey in sec. The height of the house is