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 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 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? 

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

The displacement of a body from a reference point, is given by

where x is in metres and t in seconds. This shown that the body is