The initial velocity of a particle is u (at t=0) and the acceleration f is given by $f = a t$ where $a$ is a constant. Which of the following relation is valid?

Q. The initial velocity of a particle is u(t = 0) and the acceleration is given by

a t^{3 / 2}

. Which of the following relations is valid

Q. If initial velocity of a particle is

u

(at

t = 0

) and the acceleration is

f = a t

, then

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The initial velocity of a particle is u (at t=0) and the acceleration f is given by f=a t where a is a constant. Which of the following relation is valid?

The correct option is B v=u+at22 We have f=dvdt On rearrangement and integration ∫vudv=a∫t0t dt v−u=at22 v=u+at22

The initial velocity of a particle is u (at t=0) and the acceleration f is given by $f = a t$ where $a$ is a constant. Which of the following relation is valid?

The correct option is B
$v = u + a \frac{t^{2}}{2}$

We have $f = \frac{d v}{d t}$

On rearrangement and integration

$\int_{u}^{v} d v = a \int_{0}^{t} t d t$

$v - u = a \frac{t^{2}}{2}$

$v = u + \frac{a t^{2}}{2}$