IIT-JEE 1978

A horizontal uniform rope of length L, resting on a frictionless horizontal surface, is pulled at one end by force F. What is the tension in the rope at a distance \(l\) from the end where the force is applied?

A car accelerates from rest at a constant rate \(\alpha\) for some time after which it decelerates at a constant rate \(\beta\) to come to rest. If the total time lapse is t seconds, evaluate.
(i) maximum velocity reached, and
(ii) the to...