Question

Average velocity of a particle moving in a straight line,with constant acceleration a and initial velocity u in first t seconds is

Answer 1

Answer: v+u/2 = V avg

V=U+at

V+U=2U +at

V+U/2 = 2U+at /2

V+U/2 = U+ at/2

Answer 2

AVERAGE VELOCITY IS u + ½ at.

Given:

• Initial velocity = u
• Acceleration = a
• Time = t

To find:

Average velocity in the time t ?

Calculation:

Average velocity is defined as the net displacement divided by the time taken to cover the displacement.

$avg. \: v = \dfrac{displacement}{time}$

$\implies avg. \: v = \dfrac{s}{t}$

$\implies avg. \: v = \dfrac{ut + \dfrac{1}{2}a {t}^{2} }{t}$

$\implies avg. \: v = \dfrac{ut}{t} + \dfrac{ \dfrac{1}{2}a {t}^{2} }{t}$

$\implies avg. \: v = u + \dfrac{1}{2}at$

So, average velocity is u + ½at.