Question

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

Solution

Correct option is

s2 = 3s1

 

Since the initial velocity is zero, the distance travelled in the first time interval t is  

         

             

The velocity of the body at the end of this time interval is v = 0 + at = at. This is the initial velocity for the next time interval t during which the body travels a distance. 

        

             

             

.

SIMILAR QUESTIONS

Q1

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

Q2

 

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?

Q3

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?

Q4

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

Q5

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

Q6

 

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? 

 

Q7

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? 

Q8

 

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 4th second and a distance of 60 m in the 6th second. The values of u and a respectively are    

 

Q9

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

Q10

 

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