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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

u + a t

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{u + a t}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{u}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

Suggest Corrections

Similar questions

Average velocity of a particle moving in a straight line, with constant acceleration ‘a’ and initial velocity u in first t seconds is :

The average velocity of a particle moving in a straight line, with constant acceleration 'a' and initial velocity 'u' in first 't' seconds is:

The average velocity of a particle moving in a straight line, with constant acceleration, $^{'} a^{'}$ and initial velocity, $^{'} u^{'}$ in the first $^{'} t^{'}$ seconds is:

Q. A particle is moving in a straight line with constant acceleration '

a

' and initial velocity

v_{0}

. Average velocity during first

t

second is _____

Q. Average velocity of a particle moving in a straight line ,with constant accleration & initial velocity u in first t sec is: A) u+ at/2 B)u+at C)u+at/2 D)u/2

Join BYJU'S Learning Program

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
$Displacement = S = u t + \frac{1}{2} a t^{2}$
$\Rightarrow< | \to v | >= \frac{u t + \frac{1}{2} a t^{2}}{t} = u + \frac{1}{2} a t$