You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Finding Average Velocity

State whether...

Question

State whether True or False.

A particle moves in a straight line with uniform acceleration. Its velocity at time $t = 0$ is $v_{1}$ and at time $t = t$ is $v_{2}$ . The average velocity of the particle at the time interval is $\frac{v_{1} + v_{2}}{2}$ .

True

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

False

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

Open in App

Solution

The correct option is A True
Lets consider,

$v_{1} =$ velocity of particle at t=0 sec

$v_{2} =$ velocity of particle at t=t sec

From the question, $v - t$ graph is linear, so the average velocity is given y

$v_{a v g} = \frac{v_{1} + v_{2}}{2}$

Hence, the given statement is true.

The correct option is A.

Suggest Corrections

Similar questions

Q. A particle moves in a straight line with uniform acceleration. Its velocity at time

t = 0

v_{1}

and at time

t = t

v_{2}

. The average velocity of the particle in this time interval is ?

A particle moves with constant acceleration. If v1, v2 and v3 are the three average velocities in three successive intervals t1, t2 and t3 of time, prove that: v1-v2/v2-v3=t1+t2/t2+t3.

Q. A particle moving with uniform acceleration has average velocities

v_{1}

v_{2}

and

v_{3}

over the successive intervals of time

t_{1}

t_{2}

adn

t_{3}

respectively. teh value of

\frac{(v_{1} - v_{2})}{(v_{2} - v_{3})}

will be

Q. A particle moves half the time of its journey with velocity

u

. The rest of the half time it moves with two velocities

V_{1}

and

V_{2}

such that half the distance it covers with

V_{1}

and the other half with

V_{2}

. Find the net average velocity. Assume straight line motion.

Q. A particle starting from a point

A

and moving with a positive constant acceleration along a straight line reaches another point

B

in time

T

. Suppose that the initial velocity of the particle is

u > 0

and

P

is the mid-point of the line

A B

. If the velocity of the particle at point

P

v_{1}

and if the velocity at time

\frac{T}{2}

v_{2}

, then

Join BYJU'S Learning Program

State whether True or False.A particle moves in a straight line with uniform acceleration. Its velocity at time t=0 is v1 and at time t=t is v2. The average velocity of the particle at the time interval is v1+v22.

The correct option is A TrueLets consider,v1= velocity of particle at t=0 secv2= velocity of particle at t=t secFrom the question, v−t graph is linear, so the average velocity is given yvavg=v1+v22Hence, the given statement is true.The correct option is A.

State whether True or False.

A particle moves in a straight line with uniform acceleration. Its velocity at time $t = 0$ is $v_{1}$ and at time $t = t$ is $v_{2}$ . The average velocity of the particle at the time interval is $\frac{v_{1} + v_{2}}{2}$ .