A Car, Starting From Rest, Accelerates At A Constant Rate Of 5 Ms–2 for Some Time. It Then Retards At A Constant Rate Of 10 Ms–2 and Finally Comes To Rest. If The Total Taken Is 6 s, What Is The Maximum Speed Attained By The Car?   

Two balls of masses m₁ and m₂ are thrown vertically upward with the speed u. If air resistance is neglected, they will pass through their point of projection in the downward direction with a speed 

A train covers half of its journey with a speed of 20 ms^–1 and the other half with a speed of 30 ms^–1. The average speed of the train during the whole journey is

The displacement y (in metres) of a body varies with time t (in seconds) as  

How long does the body take to come to rest?

A body goes from A to B with a velocity of 40 kmh^–1 and returns from Bto A with a velocity of 60 kmh^–1. What is the average velocity of the body during the whole journey?

The area under the velocity-time graph between any two instants t = t₁and t = t₂ gives the distance covered in time 

A particle is given a displacement of 4 m in the x-y plane. If the x-component of the displacement vector is 2 m, the y-component will be

A body, starting from rest, moves in a straight line with a constant acceleration a for a time interval t during which it travels a distance s₁. If continues to move with the same acceleration for the next time interval tduring which it travels a distance s₂. The relation between s₁ and s₂ is

A stone is dropped from a height of 125 m. If g = 10 ms^–2, what is the ratio of the distances traveled by it during the first and the last second of its motion? 

A body, moving in a straight line, with an initial velocity u and a constant acceleration a, covers a distance of 40 m in the 4^th second and a distance of 60 m in the 6^th second. The values of u and a respectively are    

A simple pendulum is hanging from the ceiling of a compartment of a train. It is observed that the string is inclined towards the rear of the train. If follows that the train is