01. Speed, Velocity and Acceleration
Motion in One Dimensions

141459 The motion of a particle along a straight line is described by the function, \(x=(2 t-3)^{2}\)
Where \(x\) is in metres and \(t\) is in seconds. The acceleration of the particle at \(t=2 s\) is

1 \(1 \mathrm{~ms}^{-2}\)
2 \(4 \mathrm{~ms}^{-2}\)
3 \(8 \mathrm{~ms}^{-2}\)
4 \(7 \mathrm{~ms}^{-2}\)
Motion in One Dimensions

141460 A car moving with a velocity \(6.25 \mathrm{~ms}^{-1}\) is decelerated with \(2.5 \sqrt{\mathrm{v} \mathrm{m}} \mathrm{ms}^{-2}\) ( \(\mathrm{v}\) is instantaneous velocity). Time taken by the car to come to rest is.

1 \(2 \mathrm{~s}\)
2 \(3 \mathrm{~s}\)
3 \(2.5 \mathrm{~s}\)
4 \(4 \mathrm{~s}\)
Motion in One Dimensions

141461 A body travelling along a straight line path travels first half of the distance with a velocity \(7 \mathrm{~ms}^{-1}\). During the travel time of the second half of the distance, first half time is travelled with a velocity \(14 \mathrm{~ms}^{-1}\) and the second half time is travelled with a velocity \(21 \mathrm{~ms}^{-1}\). Then the average velocity of the body during the journey is

1 \(14 \mathrm{~ms}^{-1}\)
2 \(10 \mathrm{~ms}^{-1}\)
3 \(9 \mathrm{~ms}^{-1}\)
4 \(12 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141462 The speed of a particle changes from \(\sqrt{5} \mathrm{~ms}^{-1}\) to \(2 \sqrt{5} \mathrm{~ms}^{-1}\) in a time. If the magnitude of changes in its velocity is \(5 \mathrm{~ms}^{-1}\), the angle between the initial and final velocities of the particle is

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in One Dimensions

141459 The motion of a particle along a straight line is described by the function, \(x=(2 t-3)^{2}\)
Where \(x\) is in metres and \(t\) is in seconds. The acceleration of the particle at \(t=2 s\) is

1 \(1 \mathrm{~ms}^{-2}\)
2 \(4 \mathrm{~ms}^{-2}\)
3 \(8 \mathrm{~ms}^{-2}\)
4 \(7 \mathrm{~ms}^{-2}\)
Motion in One Dimensions

141460 A car moving with a velocity \(6.25 \mathrm{~ms}^{-1}\) is decelerated with \(2.5 \sqrt{\mathrm{v} \mathrm{m}} \mathrm{ms}^{-2}\) ( \(\mathrm{v}\) is instantaneous velocity). Time taken by the car to come to rest is.

1 \(2 \mathrm{~s}\)
2 \(3 \mathrm{~s}\)
3 \(2.5 \mathrm{~s}\)
4 \(4 \mathrm{~s}\)
Motion in One Dimensions

141461 A body travelling along a straight line path travels first half of the distance with a velocity \(7 \mathrm{~ms}^{-1}\). During the travel time of the second half of the distance, first half time is travelled with a velocity \(14 \mathrm{~ms}^{-1}\) and the second half time is travelled with a velocity \(21 \mathrm{~ms}^{-1}\). Then the average velocity of the body during the journey is

1 \(14 \mathrm{~ms}^{-1}\)
2 \(10 \mathrm{~ms}^{-1}\)
3 \(9 \mathrm{~ms}^{-1}\)
4 \(12 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141462 The speed of a particle changes from \(\sqrt{5} \mathrm{~ms}^{-1}\) to \(2 \sqrt{5} \mathrm{~ms}^{-1}\) in a time. If the magnitude of changes in its velocity is \(5 \mathrm{~ms}^{-1}\), the angle between the initial and final velocities of the particle is

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in One Dimensions

141459 The motion of a particle along a straight line is described by the function, \(x=(2 t-3)^{2}\)
Where \(x\) is in metres and \(t\) is in seconds. The acceleration of the particle at \(t=2 s\) is

1 \(1 \mathrm{~ms}^{-2}\)
2 \(4 \mathrm{~ms}^{-2}\)
3 \(8 \mathrm{~ms}^{-2}\)
4 \(7 \mathrm{~ms}^{-2}\)
Motion in One Dimensions

141460 A car moving with a velocity \(6.25 \mathrm{~ms}^{-1}\) is decelerated with \(2.5 \sqrt{\mathrm{v} \mathrm{m}} \mathrm{ms}^{-2}\) ( \(\mathrm{v}\) is instantaneous velocity). Time taken by the car to come to rest is.

1 \(2 \mathrm{~s}\)
2 \(3 \mathrm{~s}\)
3 \(2.5 \mathrm{~s}\)
4 \(4 \mathrm{~s}\)
Motion in One Dimensions

141461 A body travelling along a straight line path travels first half of the distance with a velocity \(7 \mathrm{~ms}^{-1}\). During the travel time of the second half of the distance, first half time is travelled with a velocity \(14 \mathrm{~ms}^{-1}\) and the second half time is travelled with a velocity \(21 \mathrm{~ms}^{-1}\). Then the average velocity of the body during the journey is

1 \(14 \mathrm{~ms}^{-1}\)
2 \(10 \mathrm{~ms}^{-1}\)
3 \(9 \mathrm{~ms}^{-1}\)
4 \(12 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141462 The speed of a particle changes from \(\sqrt{5} \mathrm{~ms}^{-1}\) to \(2 \sqrt{5} \mathrm{~ms}^{-1}\) in a time. If the magnitude of changes in its velocity is \(5 \mathrm{~ms}^{-1}\), the angle between the initial and final velocities of the particle is

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in One Dimensions

141459 The motion of a particle along a straight line is described by the function, \(x=(2 t-3)^{2}\)
Where \(x\) is in metres and \(t\) is in seconds. The acceleration of the particle at \(t=2 s\) is

1 \(1 \mathrm{~ms}^{-2}\)
2 \(4 \mathrm{~ms}^{-2}\)
3 \(8 \mathrm{~ms}^{-2}\)
4 \(7 \mathrm{~ms}^{-2}\)
Motion in One Dimensions

141460 A car moving with a velocity \(6.25 \mathrm{~ms}^{-1}\) is decelerated with \(2.5 \sqrt{\mathrm{v} \mathrm{m}} \mathrm{ms}^{-2}\) ( \(\mathrm{v}\) is instantaneous velocity). Time taken by the car to come to rest is.

1 \(2 \mathrm{~s}\)
2 \(3 \mathrm{~s}\)
3 \(2.5 \mathrm{~s}\)
4 \(4 \mathrm{~s}\)
Motion in One Dimensions

141461 A body travelling along a straight line path travels first half of the distance with a velocity \(7 \mathrm{~ms}^{-1}\). During the travel time of the second half of the distance, first half time is travelled with a velocity \(14 \mathrm{~ms}^{-1}\) and the second half time is travelled with a velocity \(21 \mathrm{~ms}^{-1}\). Then the average velocity of the body during the journey is

1 \(14 \mathrm{~ms}^{-1}\)
2 \(10 \mathrm{~ms}^{-1}\)
3 \(9 \mathrm{~ms}^{-1}\)
4 \(12 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141462 The speed of a particle changes from \(\sqrt{5} \mathrm{~ms}^{-1}\) to \(2 \sqrt{5} \mathrm{~ms}^{-1}\) in a time. If the magnitude of changes in its velocity is \(5 \mathrm{~ms}^{-1}\), the angle between the initial and final velocities of the particle is

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)