01. Speed, Velocity and Acceleration
Motion in One Dimensions

141454 A \(175 \mathrm{~m}\) long train is travelling along a straight track with a velocity \(72 \mathrm{kmph}\). A bird is flying parallel to the train in the opposite direction with a velocity \(18 \mathrm{kmph}\). The time taken by the bird to cross the train is

1 \(35 \mathrm{~s}\)
2 \(27 \mathrm{~s}\)
3 \(11.6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in One Dimensions

141455 A particle covers a distance from \(A\) to \(B\) over a period of time, the distance versus time plot is shown below. Then which of the following is true for the motion of the particle?
original image

1 Both average speed and instantaneous speed are always zero.
2 Average speed is always non-zero but instantaneous speed can be zero.
3 Instantaneous speed is always non-zero but average speed can be zero.
4 Both average speed and instantaneous speed are always non-zero.
Motion in One Dimensions

141456 Consider a car initially at rest, starts to move along a straight road first with acceleration 5 \(\mathbf{m} / \mathbf{s}^{2}\), then with uniform velocity and finally, decelerating at \(5 \mathrm{~m} / \mathrm{s}^{2}\), before coming to a stop. Total time taken from start to end is \(t=25 \mathrm{~s}\). If the average velocity during that time is \(\mathbf{7 2}\) \(\mathrm{km} / \mathrm{hr}\), the car moved with uniform velocity for a time of

1 \(15 \mathrm{~s}\)
2 \(30 \mathrm{~s}\)
3 \(155 \mathrm{~s}\)
4 \(2 \mathrm{~s}\)
Motion in One Dimensions

141457 A body of mass \(8 \mathrm{~kg}\) is moved by a force \(F=3 x\) \(N\), where \(x\) is the distance covered. Initial position is \(x=2 m\) and the final position is \(x=\) \(10 \mathrm{~m}\). The initial speed is zero. The final speed is

1 \(6 \mathrm{~m} / \mathrm{s}\)
2 \(12 \mathrm{~m} / \mathrm{s}\)
3 \(18 \mathrm{~m} / \mathrm{s}\)
4 \(14 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141458 A ball falls freely from a height of \(180 \mathrm{~m} \mathrm{on}\) to a hard horizontal floor and repeatedly bounces. If the coefficient of restitution is 0.5 , the average speed and average velocity of the ball before it ceases to rebound are respectively (acceleration due to gravity \(=\mathbf{1 0} \mathbf{~ m s}^{-2}\) )

1 \(10 \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
2 \(50 \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{50}{3} \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
4 \(\frac{20}{3} \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141454 A \(175 \mathrm{~m}\) long train is travelling along a straight track with a velocity \(72 \mathrm{kmph}\). A bird is flying parallel to the train in the opposite direction with a velocity \(18 \mathrm{kmph}\). The time taken by the bird to cross the train is

1 \(35 \mathrm{~s}\)
2 \(27 \mathrm{~s}\)
3 \(11.6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in One Dimensions

141455 A particle covers a distance from \(A\) to \(B\) over a period of time, the distance versus time plot is shown below. Then which of the following is true for the motion of the particle?
original image

1 Both average speed and instantaneous speed are always zero.
2 Average speed is always non-zero but instantaneous speed can be zero.
3 Instantaneous speed is always non-zero but average speed can be zero.
4 Both average speed and instantaneous speed are always non-zero.
Motion in One Dimensions

141456 Consider a car initially at rest, starts to move along a straight road first with acceleration 5 \(\mathbf{m} / \mathbf{s}^{2}\), then with uniform velocity and finally, decelerating at \(5 \mathrm{~m} / \mathrm{s}^{2}\), before coming to a stop. Total time taken from start to end is \(t=25 \mathrm{~s}\). If the average velocity during that time is \(\mathbf{7 2}\) \(\mathrm{km} / \mathrm{hr}\), the car moved with uniform velocity for a time of

1 \(15 \mathrm{~s}\)
2 \(30 \mathrm{~s}\)
3 \(155 \mathrm{~s}\)
4 \(2 \mathrm{~s}\)
Motion in One Dimensions

141457 A body of mass \(8 \mathrm{~kg}\) is moved by a force \(F=3 x\) \(N\), where \(x\) is the distance covered. Initial position is \(x=2 m\) and the final position is \(x=\) \(10 \mathrm{~m}\). The initial speed is zero. The final speed is

1 \(6 \mathrm{~m} / \mathrm{s}\)
2 \(12 \mathrm{~m} / \mathrm{s}\)
3 \(18 \mathrm{~m} / \mathrm{s}\)
4 \(14 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141458 A ball falls freely from a height of \(180 \mathrm{~m} \mathrm{on}\) to a hard horizontal floor and repeatedly bounces. If the coefficient of restitution is 0.5 , the average speed and average velocity of the ball before it ceases to rebound are respectively (acceleration due to gravity \(=\mathbf{1 0} \mathbf{~ m s}^{-2}\) )

1 \(10 \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
2 \(50 \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{50}{3} \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
4 \(\frac{20}{3} \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141454 A \(175 \mathrm{~m}\) long train is travelling along a straight track with a velocity \(72 \mathrm{kmph}\). A bird is flying parallel to the train in the opposite direction with a velocity \(18 \mathrm{kmph}\). The time taken by the bird to cross the train is

1 \(35 \mathrm{~s}\)
2 \(27 \mathrm{~s}\)
3 \(11.6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in One Dimensions

141455 A particle covers a distance from \(A\) to \(B\) over a period of time, the distance versus time plot is shown below. Then which of the following is true for the motion of the particle?
original image

1 Both average speed and instantaneous speed are always zero.
2 Average speed is always non-zero but instantaneous speed can be zero.
3 Instantaneous speed is always non-zero but average speed can be zero.
4 Both average speed and instantaneous speed are always non-zero.
Motion in One Dimensions

141456 Consider a car initially at rest, starts to move along a straight road first with acceleration 5 \(\mathbf{m} / \mathbf{s}^{2}\), then with uniform velocity and finally, decelerating at \(5 \mathrm{~m} / \mathrm{s}^{2}\), before coming to a stop. Total time taken from start to end is \(t=25 \mathrm{~s}\). If the average velocity during that time is \(\mathbf{7 2}\) \(\mathrm{km} / \mathrm{hr}\), the car moved with uniform velocity for a time of

1 \(15 \mathrm{~s}\)
2 \(30 \mathrm{~s}\)
3 \(155 \mathrm{~s}\)
4 \(2 \mathrm{~s}\)
Motion in One Dimensions

141457 A body of mass \(8 \mathrm{~kg}\) is moved by a force \(F=3 x\) \(N\), where \(x\) is the distance covered. Initial position is \(x=2 m\) and the final position is \(x=\) \(10 \mathrm{~m}\). The initial speed is zero. The final speed is

1 \(6 \mathrm{~m} / \mathrm{s}\)
2 \(12 \mathrm{~m} / \mathrm{s}\)
3 \(18 \mathrm{~m} / \mathrm{s}\)
4 \(14 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141458 A ball falls freely from a height of \(180 \mathrm{~m} \mathrm{on}\) to a hard horizontal floor and repeatedly bounces. If the coefficient of restitution is 0.5 , the average speed and average velocity of the ball before it ceases to rebound are respectively (acceleration due to gravity \(=\mathbf{1 0} \mathbf{~ m s}^{-2}\) )

1 \(10 \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
2 \(50 \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{50}{3} \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
4 \(\frac{20}{3} \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141454 A \(175 \mathrm{~m}\) long train is travelling along a straight track with a velocity \(72 \mathrm{kmph}\). A bird is flying parallel to the train in the opposite direction with a velocity \(18 \mathrm{kmph}\). The time taken by the bird to cross the train is

1 \(35 \mathrm{~s}\)
2 \(27 \mathrm{~s}\)
3 \(11.6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in One Dimensions

141455 A particle covers a distance from \(A\) to \(B\) over a period of time, the distance versus time plot is shown below. Then which of the following is true for the motion of the particle?
original image

1 Both average speed and instantaneous speed are always zero.
2 Average speed is always non-zero but instantaneous speed can be zero.
3 Instantaneous speed is always non-zero but average speed can be zero.
4 Both average speed and instantaneous speed are always non-zero.
Motion in One Dimensions

141456 Consider a car initially at rest, starts to move along a straight road first with acceleration 5 \(\mathbf{m} / \mathbf{s}^{2}\), then with uniform velocity and finally, decelerating at \(5 \mathrm{~m} / \mathrm{s}^{2}\), before coming to a stop. Total time taken from start to end is \(t=25 \mathrm{~s}\). If the average velocity during that time is \(\mathbf{7 2}\) \(\mathrm{km} / \mathrm{hr}\), the car moved with uniform velocity for a time of

1 \(15 \mathrm{~s}\)
2 \(30 \mathrm{~s}\)
3 \(155 \mathrm{~s}\)
4 \(2 \mathrm{~s}\)
Motion in One Dimensions

141457 A body of mass \(8 \mathrm{~kg}\) is moved by a force \(F=3 x\) \(N\), where \(x\) is the distance covered. Initial position is \(x=2 m\) and the final position is \(x=\) \(10 \mathrm{~m}\). The initial speed is zero. The final speed is

1 \(6 \mathrm{~m} / \mathrm{s}\)
2 \(12 \mathrm{~m} / \mathrm{s}\)
3 \(18 \mathrm{~m} / \mathrm{s}\)
4 \(14 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141458 A ball falls freely from a height of \(180 \mathrm{~m} \mathrm{on}\) to a hard horizontal floor and repeatedly bounces. If the coefficient of restitution is 0.5 , the average speed and average velocity of the ball before it ceases to rebound are respectively (acceleration due to gravity \(=\mathbf{1 0} \mathbf{~ m s}^{-2}\) )

1 \(10 \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
2 \(50 \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{50}{3} \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
4 \(\frac{20}{3} \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141454 A \(175 \mathrm{~m}\) long train is travelling along a straight track with a velocity \(72 \mathrm{kmph}\). A bird is flying parallel to the train in the opposite direction with a velocity \(18 \mathrm{kmph}\). The time taken by the bird to cross the train is

1 \(35 \mathrm{~s}\)
2 \(27 \mathrm{~s}\)
3 \(11.6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in One Dimensions

141455 A particle covers a distance from \(A\) to \(B\) over a period of time, the distance versus time plot is shown below. Then which of the following is true for the motion of the particle?
original image

1 Both average speed and instantaneous speed are always zero.
2 Average speed is always non-zero but instantaneous speed can be zero.
3 Instantaneous speed is always non-zero but average speed can be zero.
4 Both average speed and instantaneous speed are always non-zero.
Motion in One Dimensions

141456 Consider a car initially at rest, starts to move along a straight road first with acceleration 5 \(\mathbf{m} / \mathbf{s}^{2}\), then with uniform velocity and finally, decelerating at \(5 \mathrm{~m} / \mathrm{s}^{2}\), before coming to a stop. Total time taken from start to end is \(t=25 \mathrm{~s}\). If the average velocity during that time is \(\mathbf{7 2}\) \(\mathrm{km} / \mathrm{hr}\), the car moved with uniform velocity for a time of

1 \(15 \mathrm{~s}\)
2 \(30 \mathrm{~s}\)
3 \(155 \mathrm{~s}\)
4 \(2 \mathrm{~s}\)
Motion in One Dimensions

141457 A body of mass \(8 \mathrm{~kg}\) is moved by a force \(F=3 x\) \(N\), where \(x\) is the distance covered. Initial position is \(x=2 m\) and the final position is \(x=\) \(10 \mathrm{~m}\). The initial speed is zero. The final speed is

1 \(6 \mathrm{~m} / \mathrm{s}\)
2 \(12 \mathrm{~m} / \mathrm{s}\)
3 \(18 \mathrm{~m} / \mathrm{s}\)
4 \(14 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141458 A ball falls freely from a height of \(180 \mathrm{~m} \mathrm{on}\) to a hard horizontal floor and repeatedly bounces. If the coefficient of restitution is 0.5 , the average speed and average velocity of the ball before it ceases to rebound are respectively (acceleration due to gravity \(=\mathbf{1 0} \mathbf{~ m s}^{-2}\) )

1 \(10 \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
2 \(50 \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)
3 \(\frac{50}{3} \mathrm{~ms}^{-1}, 10 \mathrm{~ms}^{-1}\)
4 \(\frac{20}{3} \mathrm{~ms}^{-1}, \frac{50}{3} \mathrm{~ms}^{-1}\)