(a) Write a equation of motion in different states and derive the relation : `s=u+(1)/(2)a(2t-1)` Where, s is the distance covered in `t^("th")` second, u is initial velocity and a is uniform acceleration.

Prove the relation, s_t=u + at - 1/2 a.

Check the correctness of following equation by the method of dimensions : S=ut+(1)/(2)at^(2) . where S is the distance covered bu a body in time t, having initial velocity u and acceleration a.

A bus starts from rest and moves whith acceleration a = 2 m/s^2 . The ratio of the distance covered in 6^(th) second to that covered in 6 seconds is

Derive an expression using the method of dimensions, the distance travelled by a body during an interval of time t, if its initial velocity is u and uniform acceleration is a.

Write an expression for the distance S covered in time t by a body which is initially at rest and starts moving with a constant acceleration a.

Assertion : In the equation, s=u+at-(1)/(2)a where, s is the distance travelled by uniformly accelerated body in tth second. Reason : The above equation is dimensionally incorrect.

A body starts from rest with a uniform acceleration of 2 m s^(-1) . Find the distance covered by the body in 2 s.

(a) Write a equation of motion in different states and derive the relation :
`s=u+(1)/(2)a(2t-1)`
Where, s is the distance covered in `t^("th")` second, u is initial velocity and a is uniform acceleration.

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