01. Speed, Velocity and Acceleration
Motion in One Dimensions

141438 A motor-bike starts from rest, attains a velocity of \(10 \mathrm{~m} / \mathrm{s}\) with an acceleration of \(0.5 \mathrm{~m} / \mathrm{s}^{2}\), travels \(10 \mathrm{~km}\) with this uniform velocity and then comes to halt with a uniform deceleration of \(0.2 \mathrm{~m} / \mathrm{s}^{2}\). The total time of travel is

1 \(1070 \mathrm{~s}\)
2 \(1050 \mathrm{~s}\)
3 \(1150 \mathrm{~s}\)
4 \(1170 \mathrm{~s}\)
Motion in One Dimensions

141439 A body moves in a straight line with speed \(v_{1}\) and \(v_{2}\) for distance which are in ratio \(1: 2\). Find the average speed.

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

141440 The displacement of a body when it covers a distance of \(\mathrm{C} / 4\) (where, \(\mathrm{C}\) is circumference) along the circumference of the circle of radius \(r\) with a uniform speed \(u\) is

1 \(r\)
2 \(r \sqrt{2}\)
3 \(2 r\)
4 \(\frac{r}{2}\)
Motion in One Dimensions

141441 Which of the following options is correct for the object having a straight-line motion represented by the following graph?
original image

1 The object moves with constantly increasing velocity from \(\mathrm{O}\) to \(\mathrm{A}\) and then it moves with constant velocity
2 Velocity of the object increases uniformly.
3 Average velocity is zero
4 The graph shown is impossible.
Motion in One Dimensions

141442 A body is moving with an initial velocity of \(10 \sqrt{2} \mathrm{~ms}^{-1}\) in the north-east direction. If it is subjected to an acceleration of \(2 \mathrm{~ms}^{-2}\) directed towards the south, then velocity of the body after \(5 \mathrm{~s}\) is

1 \(10 \mathrm{~ms}^{-1}\), towards east
2 \(10 \mathrm{~ms}^{-1}\), towards north
3 \(10 \mathrm{~ms}^{-1}\), towards south
4 \(10 \mathrm{~ms}^{-1}\), towards north-east
Motion in One Dimensions

141438 A motor-bike starts from rest, attains a velocity of \(10 \mathrm{~m} / \mathrm{s}\) with an acceleration of \(0.5 \mathrm{~m} / \mathrm{s}^{2}\), travels \(10 \mathrm{~km}\) with this uniform velocity and then comes to halt with a uniform deceleration of \(0.2 \mathrm{~m} / \mathrm{s}^{2}\). The total time of travel is

1 \(1070 \mathrm{~s}\)
2 \(1050 \mathrm{~s}\)
3 \(1150 \mathrm{~s}\)
4 \(1170 \mathrm{~s}\)
Motion in One Dimensions

141439 A body moves in a straight line with speed \(v_{1}\) and \(v_{2}\) for distance which are in ratio \(1: 2\). Find the average speed.

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

141440 The displacement of a body when it covers a distance of \(\mathrm{C} / 4\) (where, \(\mathrm{C}\) is circumference) along the circumference of the circle of radius \(r\) with a uniform speed \(u\) is

1 \(r\)
2 \(r \sqrt{2}\)
3 \(2 r\)
4 \(\frac{r}{2}\)
Motion in One Dimensions

141441 Which of the following options is correct for the object having a straight-line motion represented by the following graph?
original image

1 The object moves with constantly increasing velocity from \(\mathrm{O}\) to \(\mathrm{A}\) and then it moves with constant velocity
2 Velocity of the object increases uniformly.
3 Average velocity is zero
4 The graph shown is impossible.
Motion in One Dimensions

141442 A body is moving with an initial velocity of \(10 \sqrt{2} \mathrm{~ms}^{-1}\) in the north-east direction. If it is subjected to an acceleration of \(2 \mathrm{~ms}^{-2}\) directed towards the south, then velocity of the body after \(5 \mathrm{~s}\) is

1 \(10 \mathrm{~ms}^{-1}\), towards east
2 \(10 \mathrm{~ms}^{-1}\), towards north
3 \(10 \mathrm{~ms}^{-1}\), towards south
4 \(10 \mathrm{~ms}^{-1}\), towards north-east
Motion in One Dimensions

141438 A motor-bike starts from rest, attains a velocity of \(10 \mathrm{~m} / \mathrm{s}\) with an acceleration of \(0.5 \mathrm{~m} / \mathrm{s}^{2}\), travels \(10 \mathrm{~km}\) with this uniform velocity and then comes to halt with a uniform deceleration of \(0.2 \mathrm{~m} / \mathrm{s}^{2}\). The total time of travel is

1 \(1070 \mathrm{~s}\)
2 \(1050 \mathrm{~s}\)
3 \(1150 \mathrm{~s}\)
4 \(1170 \mathrm{~s}\)
Motion in One Dimensions

141439 A body moves in a straight line with speed \(v_{1}\) and \(v_{2}\) for distance which are in ratio \(1: 2\). Find the average speed.

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

141440 The displacement of a body when it covers a distance of \(\mathrm{C} / 4\) (where, \(\mathrm{C}\) is circumference) along the circumference of the circle of radius \(r\) with a uniform speed \(u\) is

1 \(r\)
2 \(r \sqrt{2}\)
3 \(2 r\)
4 \(\frac{r}{2}\)
Motion in One Dimensions

141441 Which of the following options is correct for the object having a straight-line motion represented by the following graph?
original image

1 The object moves with constantly increasing velocity from \(\mathrm{O}\) to \(\mathrm{A}\) and then it moves with constant velocity
2 Velocity of the object increases uniformly.
3 Average velocity is zero
4 The graph shown is impossible.
Motion in One Dimensions

141442 A body is moving with an initial velocity of \(10 \sqrt{2} \mathrm{~ms}^{-1}\) in the north-east direction. If it is subjected to an acceleration of \(2 \mathrm{~ms}^{-2}\) directed towards the south, then velocity of the body after \(5 \mathrm{~s}\) is

1 \(10 \mathrm{~ms}^{-1}\), towards east
2 \(10 \mathrm{~ms}^{-1}\), towards north
3 \(10 \mathrm{~ms}^{-1}\), towards south
4 \(10 \mathrm{~ms}^{-1}\), towards north-east
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Motion in One Dimensions

141438 A motor-bike starts from rest, attains a velocity of \(10 \mathrm{~m} / \mathrm{s}\) with an acceleration of \(0.5 \mathrm{~m} / \mathrm{s}^{2}\), travels \(10 \mathrm{~km}\) with this uniform velocity and then comes to halt with a uniform deceleration of \(0.2 \mathrm{~m} / \mathrm{s}^{2}\). The total time of travel is

1 \(1070 \mathrm{~s}\)
2 \(1050 \mathrm{~s}\)
3 \(1150 \mathrm{~s}\)
4 \(1170 \mathrm{~s}\)
Motion in One Dimensions

141439 A body moves in a straight line with speed \(v_{1}\) and \(v_{2}\) for distance which are in ratio \(1: 2\). Find the average speed.

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

141440 The displacement of a body when it covers a distance of \(\mathrm{C} / 4\) (where, \(\mathrm{C}\) is circumference) along the circumference of the circle of radius \(r\) with a uniform speed \(u\) is

1 \(r\)
2 \(r \sqrt{2}\)
3 \(2 r\)
4 \(\frac{r}{2}\)
Motion in One Dimensions

141441 Which of the following options is correct for the object having a straight-line motion represented by the following graph?
original image

1 The object moves with constantly increasing velocity from \(\mathrm{O}\) to \(\mathrm{A}\) and then it moves with constant velocity
2 Velocity of the object increases uniformly.
3 Average velocity is zero
4 The graph shown is impossible.
Motion in One Dimensions

141442 A body is moving with an initial velocity of \(10 \sqrt{2} \mathrm{~ms}^{-1}\) in the north-east direction. If it is subjected to an acceleration of \(2 \mathrm{~ms}^{-2}\) directed towards the south, then velocity of the body after \(5 \mathrm{~s}\) is

1 \(10 \mathrm{~ms}^{-1}\), towards east
2 \(10 \mathrm{~ms}^{-1}\), towards north
3 \(10 \mathrm{~ms}^{-1}\), towards south
4 \(10 \mathrm{~ms}^{-1}\), towards north-east
Motion in One Dimensions

141438 A motor-bike starts from rest, attains a velocity of \(10 \mathrm{~m} / \mathrm{s}\) with an acceleration of \(0.5 \mathrm{~m} / \mathrm{s}^{2}\), travels \(10 \mathrm{~km}\) with this uniform velocity and then comes to halt with a uniform deceleration of \(0.2 \mathrm{~m} / \mathrm{s}^{2}\). The total time of travel is

1 \(1070 \mathrm{~s}\)
2 \(1050 \mathrm{~s}\)
3 \(1150 \mathrm{~s}\)
4 \(1170 \mathrm{~s}\)
Motion in One Dimensions

141439 A body moves in a straight line with speed \(v_{1}\) and \(v_{2}\) for distance which are in ratio \(1: 2\). Find the average speed.

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

141440 The displacement of a body when it covers a distance of \(\mathrm{C} / 4\) (where, \(\mathrm{C}\) is circumference) along the circumference of the circle of radius \(r\) with a uniform speed \(u\) is

1 \(r\)
2 \(r \sqrt{2}\)
3 \(2 r\)
4 \(\frac{r}{2}\)
Motion in One Dimensions

141441 Which of the following options is correct for the object having a straight-line motion represented by the following graph?
original image

1 The object moves with constantly increasing velocity from \(\mathrm{O}\) to \(\mathrm{A}\) and then it moves with constant velocity
2 Velocity of the object increases uniformly.
3 Average velocity is zero
4 The graph shown is impossible.
Motion in One Dimensions

141442 A body is moving with an initial velocity of \(10 \sqrt{2} \mathrm{~ms}^{-1}\) in the north-east direction. If it is subjected to an acceleration of \(2 \mathrm{~ms}^{-2}\) directed towards the south, then velocity of the body after \(5 \mathrm{~s}\) is

1 \(10 \mathrm{~ms}^{-1}\), towards east
2 \(10 \mathrm{~ms}^{-1}\), towards north
3 \(10 \mathrm{~ms}^{-1}\), towards south
4 \(10 \mathrm{~ms}^{-1}\), towards north-east