A policeman starts chasing a thief with a uniform velocity V along a straight path in a jeep. When the jeep is at a distance d from the thief rides on a motorcycle and moves with a constant acceleration a starting from rest. Show that the policeman can catch the thief if V `gt sqrt(2ad).`

A particle starts moving from rest with uniform acceleration. It travels a distance x in first 2 seconds and distance y in the next 2 seconds. Then:

A body of mass m , starting from rest , moves with constant acceleration . After a time T it attains a velocity V. Show that the work done by the body in time t=1/2 m (V^2)/(T^2)*t^2*

A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the 4th second compared to that in the 3rd second is

A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the 4^(th) second compared to that in the 3 second is

Two particles start their journey at the same time from the same point following two straight lines inclined with each other at an angle theta . One moves with a uniform velocity u and other, starting from rest, moves with an acceleration a. show that the relative velocity between them will be minimum after a time u cos theta//a and its value is u sin theta .

A train, initially at station A , starts its journey and eventually stops at station B after travelling a distance s . The first part of its journey is under uniform acceleration u and the later part under uniform retardation v . Show that the time taken for the journey is sqrt(2s((1)/(u)+(1)/(v))).

A particle starts form the origin with a velocity of 10 cm/s and moves along a straight line. If its acceleration be (2t^(2)-3t)cm//s^(2) at the end of t seconds, then fing its velocity and the distance from the origin at the end of 6 seconds.