Question

A body crosses a certain point with a certain initial velocity u and moves with a constant acceleration ‘a’.Obtain an expression for the velocity acquired by it after some time 't .?

Answer 1

Step 1: Given that :

Initial velocity is u.

Acceleration is a.

Step 2: Calculation :

Change in velocity = final velocity-initial velocity .

Acceleration(a) = $\frac{Changeinvelocity}{Time}$

$$\begin{gathered} a=\frac{v-u}{t}. \\ at=v-u. \\ v=u+at. \end{gathered}$$

Step 3: Final answer :

$v=u+at.$