A policeman is in pursuit of a thief Both are running at `5m//s`. Suddenly they come across a gap between building as shown in figure. The thief leaps at `5m//s` and at `45^(@)` while the policeman leaps horizontally.
(a) Does the policeman clear the gap ?
(b) BY how much does the thief clear the gap ?

A police car B is chasing a culprit’s car A. Car A and B are moving at constant speed V_(1) = 108 km//hr and V_(2) = 90 km//hr respectively along a straight line. The police decides to open fire and a policeman starts firing with his machine gun directly aiming at car A. The bullets have a velocity u = 305 m//s relative to the gun. The policeman keeps firing for an interval of T_(0) = 20 s . The Culprit experiences that the time gap between the first and the last bullet hitting his car is Deltat . Find Deltat .

A particle is fired from A in the diagonal plane of a building of dimension 20m (length) xx 15m (breadth) xx 12.5 m (height), just clears the roof diagonally & falls on the other side of the building at B .It is observed that the particle is travelling at an angle 45^(@) with the horizontal when it clears the edges P and Q of the diagonal. Take g=10m//s^(2) . The speed of the particle at point P will be:

A particle is fired from 'A' in the diagonal plane of a building of dimension 20m (length) xx15m (breath) xx12.5m (height), just clears the roof diagonally and falls on the other side of the building at B. It is observed that the particle is travelling at an angle 45^(@) with the horizonal when it clears the edges P and Q of the diagonal. Take g=10m//s^(2) . The speed of the particle at point P will be:

A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 metres ahead of the policeman, then the time required for the policeman to catch the thief will be 2 m inu t e s b. 3 m inu t e s c. 6 m inu t e s d. 10 m inu t e s

A particle is fired from A in the diagonal plane of a building of dimension 20m (length) xx 15m (breadth) xx 12.5 m (height), just clears the roof diagonally & falls on the other side of the building at B .It is observed that the particle is travelling at an angle 45^(@) with the horizontal when it clears the edges P and Q of the diagonal. Take g=10m//s^(2) . The speed of projection of the particle at A will be:

A particle is fired from A in the diagonal plane of a building of dimension 20m (length) xx 15m (breadth) xx 12.5 m (height), just clears the roof diagonally & falls on the other side of the building at B .It is observed that the particle is travelling at an angle 45^(@) with the horizontal when it clears the edges P and Q of the diagonal. Take g=10m//s^(2) . The range that is AB will be:

A particle is fired from 'A' in the diagonal plane of a building of dimension 20m (length) xx15m (breath) xx12.5m (height), just clears the roof diagonally and falls on the other side of the building at B. It is observed that the particle is travelling at an angle 45^(@) with the horizonal when it clears the edges P and Q of the diagonal. Take g=10m//s^(2) . The speed of projection of the particle at A will be:

A thief saw a policeman from the distance of 700 m. Thief run 4.7 km in 41 minute and police run in 4.7 km in 34 minute. How much distance will the thief before arresting?

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes? 100 m b. 150 m c. 190 m d. 200 m