A person travelling on a straight line moves with a uniform velocity $$v_1,$$ for some time and with uniform velocity $$v_2$$ for the next equal time. The average velocity $$v$$ is given by:
1. $$v=\frac{v_{1}+v_{2}}{2}$$

2. $$v=\sqrt{v_{1} v_{2}}$$

3. $$\frac{2}{v}=\frac{1}{v_{1}}+\frac{1}{v_{2}}$$

4. $$\frac{1}{v}=\frac{1}{v_{1}}+\frac{1}{v_{2}}$$

Subtopic: Â Average Speed & Average Velocity |
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A person traveling on a straight line moves with a uniform velocity $$v_1$$ for a distance $$x$$ and with a uniform velocity $$v_2,$$ for the next equal distance. The average velocity $$v$$ is given by:
1. $$v=\frac{v_{1}+v_{2}}{2}$$

2. $$v=\sqrt{v_{1} v_{2}}$$

3. $$\frac{2}{v}=\frac{1}{v_{1}}+\frac{1}{v_{2}}$$

4. $$\frac{1}{v}=\frac{1}{v_{1}}+\frac{1}{v_{2}}$$

Subtopic: Â Average Speed & Average Velocity |
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Pick the correct statements:

 a. Average speed of a particle in a given time is never less than the magnitude of the average velocity. b. It is possible to have a situation in which $$|\frac{d \vec{v}}{d t}| \neq 0$$ but $$\frac{d}{d t}|\vec{v}|=0.$$ c. The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. d. The average velocity of a particle moving in a straight line is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. (Infinite accelerations are not allowed)

Choose the correct option:

 1 (a), (b) and (c) 2 (b), (c) and (d) 3 (a) and (b) 4 (b) and (c)
Subtopic: Â Average Speed & Average Velocity |
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