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

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u + at

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u + (at/2)

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(u + at)/2

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Solution

The correct option is C
u + (at/2)

Here,
Initial velocity is $u$
acceleration is $a$
Total time taken is $t$

Average Velocity $= \frac{T o t a l d i s p l a c e m e n t}{T o t a l t i m e}$

$T o t a l d i s p l a c e m e n t = u t + \frac{a t^{2}}{2}$

$A v e r a g e V e l o c i t y = \frac{u t + \frac{{a t}^{2}}{2}}{t}$

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

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

The correct option is C u + (at/2) Here, Initial velocity is u acceleration is a Total time taken is t Average Velocity =Total displacementTotal time Total displacement=ut+at22 Average Velocity=ut+at22t =u+at2

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