A lift performs the first part of its ascent with uniform acceleration a and the remaining with uniform retardation `2a.` If t is the time of ascent, find the depth of the shaft.

A lift performs the first part of ascent with uniform acceleration a and the remainder with uniform retardation 2a . The lift starts from rest and finally comes to rest. If t is the time of ascent. Find the height ascended by lift.

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 car starts from rest and travels with uniform acceleration prop , for same time and then with uniform retardation beta and comes to rest. The time of motion t. Find the maximum velocity attained by it, (alphabetat//(alpha+beta))

A car starts from rest and travels with uniform acceleration a, for some time and then with uniform retardation beta and comes to rest. If the total time of car is 't', the maximum velocity attained by it is given by

Two stations A and B are 2km apart. A train moves at first with a uniform acceleration a_(1) and then with a uniform retardation a_(2) to travel the distance AB in 4 min.Then

A train starting from rest, and moving with uniform acceleration alpha , acquires a speed v. Then its comes to a stop with uniform retardation beta . Then the average velocity of the train is

State the nature of the graphs representing motions of a body with uniform velocity, with uniform acceleration and with uniform retardation respectively in a dispalcement - time graph.