Average Velocity and Average Speed
PHXI03:MOTION IN A STRAIGHT LINE

362223 A particle is moving along a semicircle of radius 10 \(m\) in 5 seconds. The average velocity of the particle is

1 \(4\;m{s^{ - 1}}\)
2 \(2\pi \;m{s^{ - 1}}\)
3 \(4\pi \;m{s^{ - 1}}\)
4 \(2\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362224 A body is moving along a straight line with initial velocity \(v_{0}\). Its acceleration \(a\) is constant. After \(t\) seconds, its velocity becomes \(v\). The average velocity of the body over the given time interval is

1 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{a t}\)
2 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{2 a t}\)
3 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{a t}\)
4 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{2 a t}\)
PHXI03:MOTION IN A STRAIGHT LINE

362225 In the diagram shown, the displacement \({(x)}\) of particles is given as a function of time. Particle \({A}\) is moving under a constant velocity of \({9 {~m} / {s}}\). Particle \({B}\) is moving under variable acceleration. From time \({t=0 s}\) to \({t=6 s}\), the average velocity of the particle \({B}\) will be equal to
supporting img

1 \(2.5\,m/s\)
2 \(4\,m/s\)
3 \(9\,m/s\)
4 None
PHXI03:MOTION IN A STRAIGHT LINE

362226 Which of the following statements is/are correct?
I.
Distance is always positive.
II.
Displacement can be positive, negative or zero
III.
Average speed is always positive.
IV.
Path length is a vector quantity whereas displacement scalar quantity

1 Only I
2 Both II and III
3 Both I and II
4 I, II and III
PHXI03:MOTION IN A STRAIGHT LINE

362227 A car starts from rest and moves with uniform acceleration \(a\) on a straight road from time \(t = 0\,{\rm{to}}\,t = T\). After that, a constant deceleration brings it to rest. In this process the average speed of the car is

1 \(aT\)
2 \(\frac{{aT}}{2}\)
3 \(\frac{{3aT}}{2}\)
4 \(\frac{{aT}}{4}\)
PHXI03:MOTION IN A STRAIGHT LINE

362223 A particle is moving along a semicircle of radius 10 \(m\) in 5 seconds. The average velocity of the particle is

1 \(4\;m{s^{ - 1}}\)
2 \(2\pi \;m{s^{ - 1}}\)
3 \(4\pi \;m{s^{ - 1}}\)
4 \(2\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362224 A body is moving along a straight line with initial velocity \(v_{0}\). Its acceleration \(a\) is constant. After \(t\) seconds, its velocity becomes \(v\). The average velocity of the body over the given time interval is

1 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{a t}\)
2 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{2 a t}\)
3 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{a t}\)
4 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{2 a t}\)
PHXI03:MOTION IN A STRAIGHT LINE

362225 In the diagram shown, the displacement \({(x)}\) of particles is given as a function of time. Particle \({A}\) is moving under a constant velocity of \({9 {~m} / {s}}\). Particle \({B}\) is moving under variable acceleration. From time \({t=0 s}\) to \({t=6 s}\), the average velocity of the particle \({B}\) will be equal to
supporting img

1 \(2.5\,m/s\)
2 \(4\,m/s\)
3 \(9\,m/s\)
4 None
PHXI03:MOTION IN A STRAIGHT LINE

362226 Which of the following statements is/are correct?
I.
Distance is always positive.
II.
Displacement can be positive, negative or zero
III.
Average speed is always positive.
IV.
Path length is a vector quantity whereas displacement scalar quantity

1 Only I
2 Both II and III
3 Both I and II
4 I, II and III
PHXI03:MOTION IN A STRAIGHT LINE

362227 A car starts from rest and moves with uniform acceleration \(a\) on a straight road from time \(t = 0\,{\rm{to}}\,t = T\). After that, a constant deceleration brings it to rest. In this process the average speed of the car is

1 \(aT\)
2 \(\frac{{aT}}{2}\)
3 \(\frac{{3aT}}{2}\)
4 \(\frac{{aT}}{4}\)
PHXI03:MOTION IN A STRAIGHT LINE

362223 A particle is moving along a semicircle of radius 10 \(m\) in 5 seconds. The average velocity of the particle is

1 \(4\;m{s^{ - 1}}\)
2 \(2\pi \;m{s^{ - 1}}\)
3 \(4\pi \;m{s^{ - 1}}\)
4 \(2\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362224 A body is moving along a straight line with initial velocity \(v_{0}\). Its acceleration \(a\) is constant. After \(t\) seconds, its velocity becomes \(v\). The average velocity of the body over the given time interval is

1 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{a t}\)
2 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{2 a t}\)
3 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{a t}\)
4 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{2 a t}\)
PHXI03:MOTION IN A STRAIGHT LINE

362225 In the diagram shown, the displacement \({(x)}\) of particles is given as a function of time. Particle \({A}\) is moving under a constant velocity of \({9 {~m} / {s}}\). Particle \({B}\) is moving under variable acceleration. From time \({t=0 s}\) to \({t=6 s}\), the average velocity of the particle \({B}\) will be equal to
supporting img

1 \(2.5\,m/s\)
2 \(4\,m/s\)
3 \(9\,m/s\)
4 None
PHXI03:MOTION IN A STRAIGHT LINE

362226 Which of the following statements is/are correct?
I.
Distance is always positive.
II.
Displacement can be positive, negative or zero
III.
Average speed is always positive.
IV.
Path length is a vector quantity whereas displacement scalar quantity

1 Only I
2 Both II and III
3 Both I and II
4 I, II and III
PHXI03:MOTION IN A STRAIGHT LINE

362227 A car starts from rest and moves with uniform acceleration \(a\) on a straight road from time \(t = 0\,{\rm{to}}\,t = T\). After that, a constant deceleration brings it to rest. In this process the average speed of the car is

1 \(aT\)
2 \(\frac{{aT}}{2}\)
3 \(\frac{{3aT}}{2}\)
4 \(\frac{{aT}}{4}\)
PHXI03:MOTION IN A STRAIGHT LINE

362223 A particle is moving along a semicircle of radius 10 \(m\) in 5 seconds. The average velocity of the particle is

1 \(4\;m{s^{ - 1}}\)
2 \(2\pi \;m{s^{ - 1}}\)
3 \(4\pi \;m{s^{ - 1}}\)
4 \(2\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362224 A body is moving along a straight line with initial velocity \(v_{0}\). Its acceleration \(a\) is constant. After \(t\) seconds, its velocity becomes \(v\). The average velocity of the body over the given time interval is

1 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{a t}\)
2 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{2 a t}\)
3 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{a t}\)
4 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{2 a t}\)
PHXI03:MOTION IN A STRAIGHT LINE

362225 In the diagram shown, the displacement \({(x)}\) of particles is given as a function of time. Particle \({A}\) is moving under a constant velocity of \({9 {~m} / {s}}\). Particle \({B}\) is moving under variable acceleration. From time \({t=0 s}\) to \({t=6 s}\), the average velocity of the particle \({B}\) will be equal to
supporting img

1 \(2.5\,m/s\)
2 \(4\,m/s\)
3 \(9\,m/s\)
4 None
PHXI03:MOTION IN A STRAIGHT LINE

362226 Which of the following statements is/are correct?
I.
Distance is always positive.
II.
Displacement can be positive, negative or zero
III.
Average speed is always positive.
IV.
Path length is a vector quantity whereas displacement scalar quantity

1 Only I
2 Both II and III
3 Both I and II
4 I, II and III
PHXI03:MOTION IN A STRAIGHT LINE

362227 A car starts from rest and moves with uniform acceleration \(a\) on a straight road from time \(t = 0\,{\rm{to}}\,t = T\). After that, a constant deceleration brings it to rest. In this process the average speed of the car is

1 \(aT\)
2 \(\frac{{aT}}{2}\)
3 \(\frac{{3aT}}{2}\)
4 \(\frac{{aT}}{4}\)
PHXI03:MOTION IN A STRAIGHT LINE

362223 A particle is moving along a semicircle of radius 10 \(m\) in 5 seconds. The average velocity of the particle is

1 \(4\;m{s^{ - 1}}\)
2 \(2\pi \;m{s^{ - 1}}\)
3 \(4\pi \;m{s^{ - 1}}\)
4 \(2\;m{s^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362224 A body is moving along a straight line with initial velocity \(v_{0}\). Its acceleration \(a\) is constant. After \(t\) seconds, its velocity becomes \(v\). The average velocity of the body over the given time interval is

1 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{a t}\)
2 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{2 a t}\)
3 \(\bar{v}=\dfrac{v^{2}-v_{0}^{2}}{a t}\)
4 \(\bar{v}=\dfrac{v^{2}+v_{0}^{2}}{2 a t}\)
PHXI03:MOTION IN A STRAIGHT LINE

362225 In the diagram shown, the displacement \({(x)}\) of particles is given as a function of time. Particle \({A}\) is moving under a constant velocity of \({9 {~m} / {s}}\). Particle \({B}\) is moving under variable acceleration. From time \({t=0 s}\) to \({t=6 s}\), the average velocity of the particle \({B}\) will be equal to
supporting img

1 \(2.5\,m/s\)
2 \(4\,m/s\)
3 \(9\,m/s\)
4 None
PHXI03:MOTION IN A STRAIGHT LINE

362226 Which of the following statements is/are correct?
I.
Distance is always positive.
II.
Displacement can be positive, negative or zero
III.
Average speed is always positive.
IV.
Path length is a vector quantity whereas displacement scalar quantity

1 Only I
2 Both II and III
3 Both I and II
4 I, II and III
PHXI03:MOTION IN A STRAIGHT LINE

362227 A car starts from rest and moves with uniform acceleration \(a\) on a straight road from time \(t = 0\,{\rm{to}}\,t = T\). After that, a constant deceleration brings it to rest. In this process the average speed of the car is

1 \(aT\)
2 \(\frac{{aT}}{2}\)
3 \(\frac{{3aT}}{2}\)
4 \(\frac{{aT}}{4}\)