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

v = u + a t^{2}

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

v = u + a t

v = u

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Solution

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As $f = a t \Rightarrow \frac{d v}{d t} = a t$

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Guides

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

As f=at⇒dvdt=at

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

As $f = a t \Rightarrow \frac{d v}{d t} = a t$