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

u + \frac{1}{2} a t

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u + a t

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\frac{u + a t}{2}

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\frac{u}{2}

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Solution

The correct option is A $u + \frac{1}{2} a t$
$Average velocity < | \to v | >= \frac{displacement}{time}$ Using second equation of motion
$Displacement = S = u t + \frac{1}{2} a t^{2}$
$\Rightarrow< | \to v | >= \frac{u t + \frac{1}{2} a t^{2}}{t} = u + \frac{1}{2} a t$

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

The correct option is A u+12atAverage velocity<|→v|>=displacementtime Using second equation of motion Displacement=S=ut+12at2 ⇒<|→v|>=ut+12at2t=u+12at

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

The correct option is A $u + \frac{1}{2} a t$
$Average velocity < | \to v | >= \frac{displacement}{time}$ Using second equation of motion
$Displacement = S = u t + \frac{1}{2} a t^{2}$
$\Rightarrow< | \to v | >= \frac{u t + \frac{1}{2} a t^{2}}{t} = u + \frac{1}{2} a t$