A train starts from rest and accelerates uniformly at a rate of 2 m s^-2 for 10 s. It then maintains a constant speed for 200 s. The brakes are then applied and the train is uniformly retarded and comes to rest in 50 s.

Find —

(i) the maximum velocity reached,

(ii) the retardation in the last 50 s,

(iii) the total distance travelled, and

(iv)the average velocity of the train.

Assertion (A) : The displacement of a body can be zero even if the distance travelled by it is not zero.

Reason (R) : Displacement is the shortest distance from the initial to the final position of body.

1. both A and R are true and R is the correct explanation of A
2. both A and R are true and R is not the correct explanation of A
3. assertion is false but reason is true
4. assertion is true but reason is false

Assertion (A) : The slope of displacement-time graph gives the velocity.

Reason (R) : Velocity is the product of displacement and time.

1. both A and R are true and R is the correct explanation of A
2. both A and R are true and R is not the correct explanation of A
3. assertion is false but reason is true
4. assertion is true but reason is false

Assertion (A) : The velocity-time graph of a body in motion can be a straight line parallel to the time axis.

Reason (R) : This is because the motion of body is with non-uniform velocity.

1. Both A and R are true and R is the correct explanation of A
2. Both A and R are true and R is not the correct explanation of A
3. Assertion is false but reason is true
4. Assertion is true but reason is false