Question

solve the question give in the image​

Answer 1

Answer:

Correct option is a.

Explanation:

We define acceleration as the rate of change in velocity.

Mathematically we write : a = ( v - u ) / t { where a, v, u and t are acceleration, final velocity, initial velocity and time taken in velocity-change respectively }

= > a = ( v - u ) / t

= > at = v - u

= > v = u + at { It doesn't tell about the displacement }

Let a particle is moving with initial velocity u and accelerates with a till final velocity v in time t, covering a displacement S.

= > Average velocity = ( v + u ) / 2

= > S / t = ( v + u ) / 2

= > 2S = ( u + at + u )t { from above, v = u + at }

= > 2S = ( 2u + at )t

= > S = ut + 1 / 2 at^2

= > Displacement = u x time + 1 / 2 a x time^2

This equation shows the relation between displacement and time.