A particle is moving in a straight line with constant acceleration ' $a$ ' and initial velocity $v_{0}$ . Average velocity during first $t$ second is _____

v_{0} + \frac{1}{2}

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v_{0} + a t

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\frac{v_{0} + a t}{2}

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\frac{v_{0}}{2}

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Solution

The correct option is A $v_{0} + \frac{1}{2}$ at
Initial velocity $= v_{0}$
Acceleration $= a$
Time $= t$
Distance moved $= v_{0} t + \frac{1}{2} a t^{2}$
Average velcoty $= \frac{d i s t a n c e}{t i m e}$
$= \frac{v_{0} t + \frac{1}{2} a t^{2}}{t}$
$= v_{0} + \frac{1}{2} a t$

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A particle is moving in a straight line with constant acceleration 'a' and initial velocity v0. Average velocity during first t second is _____

The correct option is A v0+12atInitial velocity =v0Acceleration =aTime =tDistance moved =v0t+12at2Average velcoty =distancetime=v0t+12at2t=v0+12at

A particle is moving in a straight line with constant acceleration ' $a$ ' and initial velocity $v_{0}$ . Average velocity during first $t$ second is _____

The correct option is A $v_{0} + \frac{1}{2}$ at
Initial velocity $= v_{0}$
Acceleration $= a$
Time $= t$
Distance moved $= v_{0} t + \frac{1}{2} a t^{2}$
Average velcoty $= \frac{d i s t a n c e}{t i m e}$
$= \frac{v_{0} t + \frac{1}{2} a t^{2}}{t}$
$= v_{0} + \frac{1}{2} a t$