Question

At the starts of a motion along a line the initial velocity is u and acceleration is at. The final velocity v is

• A. v=u+at
• B. v=u+$a{t}^2$
• C. $v=u+\frac{1}{2}a{t}^2$
• D. v=$a{t}^2$

Answer 1

The correct option is A v=u+at

Let us assume a body that has a mass “m” and initial velocity “u”. Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”. Now we know that:

Acceleration = Change in velocity/Time Taken

Therefore, Acceleration = (Final Velocity-Initial Velocity) / Time Taken

Hence, a = v-u /t or at = v-u

Therefore, we have: v = u + at