00. Distance and Displacement
Motion in One Dimensions

141165 A biker travels \(\frac{1}{3}\) of the distance \(L\) with speed \(v_{1}\) and \(\frac{2}{3}\) of the distance with speed \(v_{2}\). Then the average speed is

1 \(\frac{V_{1} V_{2}}{V_{1}+V_{2}}\)
2 \(\frac{3 V_{1} V_{2}}{2 V_{1}+V_{2}}\)
3 \(\frac{3 V_{1} V_{2}}{V_{1}+V_{2}}\)
4 \(\frac{V_{1}+V_{2}}{V_{1} V_{2}}\)
Motion in One Dimensions

141166 When a small object of mass \(m\) is thrown vertically upward, the graphical representation of its velocity versus time is shown below:
original image

1 \(2 \mathrm{a}\)
2 \(2 \mathrm{~b}\)
3 \(\mathrm{ab}\)
4 \(2 \mathrm{ab}\)
Motion in One Dimensions

141167 During a one dimensional motion, a particle of mass ' \(m\) ' starts from rest at \(x=0, t=0\) under the influence of a time dependent force \(F(t)=\) \(\mathrm{ma}_{0} \cos (\mathrm{wt})\), where \(\mathrm{a}_{\mathbf{0}}\) and \(\mathrm{w}\) are two constants.
The average velocity of the particle at \(t=\frac{\pi}{w}\) is

1 Zero
2 \(\frac{\mathrm{a}_{0}}{\mathrm{w}}\)
3 \(\frac{2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
4 \(\frac{-2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
Motion in One Dimensions

141168 A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of \(10 \mathrm{~m}\) in \(t s\), The distance travelled by the toy in the next \(t s\) will be:

1 \(10 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in One Dimensions

141169 If \(t=\sqrt{x}+4\), then \(\left(\frac{d x}{d t}\right)_{t=4}\) is :

1 4
2 Zero
3 8
4 16
Motion in One Dimensions

141165 A biker travels \(\frac{1}{3}\) of the distance \(L\) with speed \(v_{1}\) and \(\frac{2}{3}\) of the distance with speed \(v_{2}\). Then the average speed is

1 \(\frac{V_{1} V_{2}}{V_{1}+V_{2}}\)
2 \(\frac{3 V_{1} V_{2}}{2 V_{1}+V_{2}}\)
3 \(\frac{3 V_{1} V_{2}}{V_{1}+V_{2}}\)
4 \(\frac{V_{1}+V_{2}}{V_{1} V_{2}}\)
Motion in One Dimensions

141166 When a small object of mass \(m\) is thrown vertically upward, the graphical representation of its velocity versus time is shown below:
original image

1 \(2 \mathrm{a}\)
2 \(2 \mathrm{~b}\)
3 \(\mathrm{ab}\)
4 \(2 \mathrm{ab}\)
Motion in One Dimensions

141167 During a one dimensional motion, a particle of mass ' \(m\) ' starts from rest at \(x=0, t=0\) under the influence of a time dependent force \(F(t)=\) \(\mathrm{ma}_{0} \cos (\mathrm{wt})\), where \(\mathrm{a}_{\mathbf{0}}\) and \(\mathrm{w}\) are two constants.
The average velocity of the particle at \(t=\frac{\pi}{w}\) is

1 Zero
2 \(\frac{\mathrm{a}_{0}}{\mathrm{w}}\)
3 \(\frac{2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
4 \(\frac{-2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
Motion in One Dimensions

141168 A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of \(10 \mathrm{~m}\) in \(t s\), The distance travelled by the toy in the next \(t s\) will be:

1 \(10 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in One Dimensions

141169 If \(t=\sqrt{x}+4\), then \(\left(\frac{d x}{d t}\right)_{t=4}\) is :

1 4
2 Zero
3 8
4 16
Motion in One Dimensions

141165 A biker travels \(\frac{1}{3}\) of the distance \(L\) with speed \(v_{1}\) and \(\frac{2}{3}\) of the distance with speed \(v_{2}\). Then the average speed is

1 \(\frac{V_{1} V_{2}}{V_{1}+V_{2}}\)
2 \(\frac{3 V_{1} V_{2}}{2 V_{1}+V_{2}}\)
3 \(\frac{3 V_{1} V_{2}}{V_{1}+V_{2}}\)
4 \(\frac{V_{1}+V_{2}}{V_{1} V_{2}}\)
Motion in One Dimensions

141166 When a small object of mass \(m\) is thrown vertically upward, the graphical representation of its velocity versus time is shown below:
original image

1 \(2 \mathrm{a}\)
2 \(2 \mathrm{~b}\)
3 \(\mathrm{ab}\)
4 \(2 \mathrm{ab}\)
Motion in One Dimensions

141167 During a one dimensional motion, a particle of mass ' \(m\) ' starts from rest at \(x=0, t=0\) under the influence of a time dependent force \(F(t)=\) \(\mathrm{ma}_{0} \cos (\mathrm{wt})\), where \(\mathrm{a}_{\mathbf{0}}\) and \(\mathrm{w}\) are two constants.
The average velocity of the particle at \(t=\frac{\pi}{w}\) is

1 Zero
2 \(\frac{\mathrm{a}_{0}}{\mathrm{w}}\)
3 \(\frac{2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
4 \(\frac{-2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
Motion in One Dimensions

141168 A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of \(10 \mathrm{~m}\) in \(t s\), The distance travelled by the toy in the next \(t s\) will be:

1 \(10 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in One Dimensions

141169 If \(t=\sqrt{x}+4\), then \(\left(\frac{d x}{d t}\right)_{t=4}\) is :

1 4
2 Zero
3 8
4 16
Motion in One Dimensions

141165 A biker travels \(\frac{1}{3}\) of the distance \(L\) with speed \(v_{1}\) and \(\frac{2}{3}\) of the distance with speed \(v_{2}\). Then the average speed is

1 \(\frac{V_{1} V_{2}}{V_{1}+V_{2}}\)
2 \(\frac{3 V_{1} V_{2}}{2 V_{1}+V_{2}}\)
3 \(\frac{3 V_{1} V_{2}}{V_{1}+V_{2}}\)
4 \(\frac{V_{1}+V_{2}}{V_{1} V_{2}}\)
Motion in One Dimensions

141166 When a small object of mass \(m\) is thrown vertically upward, the graphical representation of its velocity versus time is shown below:
original image

1 \(2 \mathrm{a}\)
2 \(2 \mathrm{~b}\)
3 \(\mathrm{ab}\)
4 \(2 \mathrm{ab}\)
Motion in One Dimensions

141167 During a one dimensional motion, a particle of mass ' \(m\) ' starts from rest at \(x=0, t=0\) under the influence of a time dependent force \(F(t)=\) \(\mathrm{ma}_{0} \cos (\mathrm{wt})\), where \(\mathrm{a}_{\mathbf{0}}\) and \(\mathrm{w}\) are two constants.
The average velocity of the particle at \(t=\frac{\pi}{w}\) is

1 Zero
2 \(\frac{\mathrm{a}_{0}}{\mathrm{w}}\)
3 \(\frac{2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
4 \(\frac{-2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
Motion in One Dimensions

141168 A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of \(10 \mathrm{~m}\) in \(t s\), The distance travelled by the toy in the next \(t s\) will be:

1 \(10 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in One Dimensions

141169 If \(t=\sqrt{x}+4\), then \(\left(\frac{d x}{d t}\right)_{t=4}\) is :

1 4
2 Zero
3 8
4 16
Motion in One Dimensions

141165 A biker travels \(\frac{1}{3}\) of the distance \(L\) with speed \(v_{1}\) and \(\frac{2}{3}\) of the distance with speed \(v_{2}\). Then the average speed is

1 \(\frac{V_{1} V_{2}}{V_{1}+V_{2}}\)
2 \(\frac{3 V_{1} V_{2}}{2 V_{1}+V_{2}}\)
3 \(\frac{3 V_{1} V_{2}}{V_{1}+V_{2}}\)
4 \(\frac{V_{1}+V_{2}}{V_{1} V_{2}}\)
Motion in One Dimensions

141166 When a small object of mass \(m\) is thrown vertically upward, the graphical representation of its velocity versus time is shown below:
original image

1 \(2 \mathrm{a}\)
2 \(2 \mathrm{~b}\)
3 \(\mathrm{ab}\)
4 \(2 \mathrm{ab}\)
Motion in One Dimensions

141167 During a one dimensional motion, a particle of mass ' \(m\) ' starts from rest at \(x=0, t=0\) under the influence of a time dependent force \(F(t)=\) \(\mathrm{ma}_{0} \cos (\mathrm{wt})\), where \(\mathrm{a}_{\mathbf{0}}\) and \(\mathrm{w}\) are two constants.
The average velocity of the particle at \(t=\frac{\pi}{w}\) is

1 Zero
2 \(\frac{\mathrm{a}_{0}}{\mathrm{w}}\)
3 \(\frac{2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
4 \(\frac{-2 \mathrm{a}_{0}}{\pi \mathrm{w}}\)
Motion in One Dimensions

141168 A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of \(10 \mathrm{~m}\) in \(t s\), The distance travelled by the toy in the next \(t s\) will be:

1 \(10 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in One Dimensions

141169 If \(t=\sqrt{x}+4\), then \(\left(\frac{d x}{d t}\right)_{t=4}\) is :

1 4
2 Zero
3 8
4 16