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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

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False

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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.

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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 $\frac{v_{1} + v_{2}}{2}$ .