Question

A particle moving on a straight line moves with an acceleration 'a' att = 0. After t=t, its acceleration is
measured to be 'a' again. Then which of the following sentences is (are) certainly correct?​

Answer 1

v(t)=v(0)+at is certainly correct.

Therefore, Option (A) is correct.

Explanation:

At time t = 0, acceleration is a and at time t the acceleration remains a

i.e. the acceleration is constant

Therefore, we can use the equations of motion

If velocity at t = 0 be v(0) and velocity at t be v(t) then

From the first equation of motion

$v(t)=v(0)+at$

Distance travelled from 0 to t

From second equation of motion

$s(t)=v(0)t+\frac{1}{2}at^2$

or, $s(t)=v(0)t+\frac{1}{2}(v(t)-v(0))\times t$

or, $s(t)=\frac{(v(0)+v(t))t}{t}$

Therefore, only I is correct.

Hence Option (A) is correct.

Hope this answer is helpful.

Know More:

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(a) XA < XB (b) xa = xp (C) xa > XB

(d) the information is insufficient to decide the relation  of XA with XB.

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Answer 2

Answer:

I am in allen also it is the question from race regular analysis continus exercise 15 physics