00. Distance and Displacement
Motion in One Dimensions

141314 Particle \(\mathbf{A}\) moves along \(\mathrm{X}\)-axis with a uniform velocity of magnitude \(10 \mathrm{~m} / \mathrm{s}\). Particle \(B\) moves with uniform velocity \(20 \mathrm{~m} / \mathrm{s}\) along a direction making an angle of \(60^{\circ}\) with the positive direction of \(\mathrm{X}\)-axis as shown in the figure. The relative velocity of \(B\) with respect to that of \(A\) is
original image

1 \(10 \mathrm{~m} / \mathrm{s}\) along \(\mathrm{X}\)-axis
2 \(10 \sqrt{3} \mathrm{~m} / \mathrm{s}\) along \(\mathrm{Y}\)-axis (perpendicular to \(\mathrm{X}\) axis)
3 \(10 \sqrt{5} \mathrm{~m} / \mathrm{s}\) along the bisection of the velocities of \(\mathrm{A}\) and \(\mathrm{B}\)
4 \(30 \mathrm{~m} / \mathrm{s}\) along negative \(\mathrm{X}\)-axis
Motion in One Dimensions

141315 A particle moves along \(x\)-axis and its displacement at any time is given by \(x(t)=2 t^{3}-\) \(3 t^{2}+4 t\) in SI units. The velocity of the particle when its acceleration is zero, is

1 \(2.5 \mathrm{~ms}^{-1}\)
2 \(3.5 \mathrm{~ms}^{-1}\)
3 \(4.54 \mathrm{~ms}^{-1}\)
4 \(8.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141316 A shell of mass \(5 \mathrm{M}\), acted upon by no external force and initially at rest, bursts into three fragments of masses \(M, 2 M\) and \(2 M\) respectively. The first two fragments move in opposite directions with velocities of magnitudes \(2 v\) and \(v\) respectively. The third fragment will

1 move with a velocity \(\mathrm{v}\) in a direction perpendicular to the other two
2 move with a velocity \(2 \mathrm{v}\) in the direction of velocity of the first fragment
3 be at rest
4 move with velocity \(\mathrm{v}\) in the direction of velocity of the second fragment
Motion in One Dimensions

141317 The velocity of a car travelling on a straight road is \(36 \mathrm{kmh}^{-1}\) at an instant of time. Now travelling with uniform acceleration for \(10 \mathrm{~s}\), the velocity becomes exactly double. If the wheel radius of the car is \(25 \mathrm{~cm}\), then which of the following is the closest to the number of revolutions that the wheel makes during this 10 s?

1 84
2 95
3 126
4 135
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Motion in One Dimensions

141314 Particle \(\mathbf{A}\) moves along \(\mathrm{X}\)-axis with a uniform velocity of magnitude \(10 \mathrm{~m} / \mathrm{s}\). Particle \(B\) moves with uniform velocity \(20 \mathrm{~m} / \mathrm{s}\) along a direction making an angle of \(60^{\circ}\) with the positive direction of \(\mathrm{X}\)-axis as shown in the figure. The relative velocity of \(B\) with respect to that of \(A\) is
original image

1 \(10 \mathrm{~m} / \mathrm{s}\) along \(\mathrm{X}\)-axis
2 \(10 \sqrt{3} \mathrm{~m} / \mathrm{s}\) along \(\mathrm{Y}\)-axis (perpendicular to \(\mathrm{X}\) axis)
3 \(10 \sqrt{5} \mathrm{~m} / \mathrm{s}\) along the bisection of the velocities of \(\mathrm{A}\) and \(\mathrm{B}\)
4 \(30 \mathrm{~m} / \mathrm{s}\) along negative \(\mathrm{X}\)-axis
Motion in One Dimensions

141315 A particle moves along \(x\)-axis and its displacement at any time is given by \(x(t)=2 t^{3}-\) \(3 t^{2}+4 t\) in SI units. The velocity of the particle when its acceleration is zero, is

1 \(2.5 \mathrm{~ms}^{-1}\)
2 \(3.5 \mathrm{~ms}^{-1}\)
3 \(4.54 \mathrm{~ms}^{-1}\)
4 \(8.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141316 A shell of mass \(5 \mathrm{M}\), acted upon by no external force and initially at rest, bursts into three fragments of masses \(M, 2 M\) and \(2 M\) respectively. The first two fragments move in opposite directions with velocities of magnitudes \(2 v\) and \(v\) respectively. The third fragment will

1 move with a velocity \(\mathrm{v}\) in a direction perpendicular to the other two
2 move with a velocity \(2 \mathrm{v}\) in the direction of velocity of the first fragment
3 be at rest
4 move with velocity \(\mathrm{v}\) in the direction of velocity of the second fragment
Motion in One Dimensions

141317 The velocity of a car travelling on a straight road is \(36 \mathrm{kmh}^{-1}\) at an instant of time. Now travelling with uniform acceleration for \(10 \mathrm{~s}\), the velocity becomes exactly double. If the wheel radius of the car is \(25 \mathrm{~cm}\), then which of the following is the closest to the number of revolutions that the wheel makes during this 10 s?

1 84
2 95
3 126
4 135
Motion in One Dimensions

141314 Particle \(\mathbf{A}\) moves along \(\mathrm{X}\)-axis with a uniform velocity of magnitude \(10 \mathrm{~m} / \mathrm{s}\). Particle \(B\) moves with uniform velocity \(20 \mathrm{~m} / \mathrm{s}\) along a direction making an angle of \(60^{\circ}\) with the positive direction of \(\mathrm{X}\)-axis as shown in the figure. The relative velocity of \(B\) with respect to that of \(A\) is
original image

1 \(10 \mathrm{~m} / \mathrm{s}\) along \(\mathrm{X}\)-axis
2 \(10 \sqrt{3} \mathrm{~m} / \mathrm{s}\) along \(\mathrm{Y}\)-axis (perpendicular to \(\mathrm{X}\) axis)
3 \(10 \sqrt{5} \mathrm{~m} / \mathrm{s}\) along the bisection of the velocities of \(\mathrm{A}\) and \(\mathrm{B}\)
4 \(30 \mathrm{~m} / \mathrm{s}\) along negative \(\mathrm{X}\)-axis
Motion in One Dimensions

141315 A particle moves along \(x\)-axis and its displacement at any time is given by \(x(t)=2 t^{3}-\) \(3 t^{2}+4 t\) in SI units. The velocity of the particle when its acceleration is zero, is

1 \(2.5 \mathrm{~ms}^{-1}\)
2 \(3.5 \mathrm{~ms}^{-1}\)
3 \(4.54 \mathrm{~ms}^{-1}\)
4 \(8.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141316 A shell of mass \(5 \mathrm{M}\), acted upon by no external force and initially at rest, bursts into three fragments of masses \(M, 2 M\) and \(2 M\) respectively. The first two fragments move in opposite directions with velocities of magnitudes \(2 v\) and \(v\) respectively. The third fragment will

1 move with a velocity \(\mathrm{v}\) in a direction perpendicular to the other two
2 move with a velocity \(2 \mathrm{v}\) in the direction of velocity of the first fragment
3 be at rest
4 move with velocity \(\mathrm{v}\) in the direction of velocity of the second fragment
Motion in One Dimensions

141317 The velocity of a car travelling on a straight road is \(36 \mathrm{kmh}^{-1}\) at an instant of time. Now travelling with uniform acceleration for \(10 \mathrm{~s}\), the velocity becomes exactly double. If the wheel radius of the car is \(25 \mathrm{~cm}\), then which of the following is the closest to the number of revolutions that the wheel makes during this 10 s?

1 84
2 95
3 126
4 135
Motion in One Dimensions

141314 Particle \(\mathbf{A}\) moves along \(\mathrm{X}\)-axis with a uniform velocity of magnitude \(10 \mathrm{~m} / \mathrm{s}\). Particle \(B\) moves with uniform velocity \(20 \mathrm{~m} / \mathrm{s}\) along a direction making an angle of \(60^{\circ}\) with the positive direction of \(\mathrm{X}\)-axis as shown in the figure. The relative velocity of \(B\) with respect to that of \(A\) is
original image

1 \(10 \mathrm{~m} / \mathrm{s}\) along \(\mathrm{X}\)-axis
2 \(10 \sqrt{3} \mathrm{~m} / \mathrm{s}\) along \(\mathrm{Y}\)-axis (perpendicular to \(\mathrm{X}\) axis)
3 \(10 \sqrt{5} \mathrm{~m} / \mathrm{s}\) along the bisection of the velocities of \(\mathrm{A}\) and \(\mathrm{B}\)
4 \(30 \mathrm{~m} / \mathrm{s}\) along negative \(\mathrm{X}\)-axis
Motion in One Dimensions

141315 A particle moves along \(x\)-axis and its displacement at any time is given by \(x(t)=2 t^{3}-\) \(3 t^{2}+4 t\) in SI units. The velocity of the particle when its acceleration is zero, is

1 \(2.5 \mathrm{~ms}^{-1}\)
2 \(3.5 \mathrm{~ms}^{-1}\)
3 \(4.54 \mathrm{~ms}^{-1}\)
4 \(8.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141316 A shell of mass \(5 \mathrm{M}\), acted upon by no external force and initially at rest, bursts into three fragments of masses \(M, 2 M\) and \(2 M\) respectively. The first two fragments move in opposite directions with velocities of magnitudes \(2 v\) and \(v\) respectively. The third fragment will

1 move with a velocity \(\mathrm{v}\) in a direction perpendicular to the other two
2 move with a velocity \(2 \mathrm{v}\) in the direction of velocity of the first fragment
3 be at rest
4 move with velocity \(\mathrm{v}\) in the direction of velocity of the second fragment
Motion in One Dimensions

141317 The velocity of a car travelling on a straight road is \(36 \mathrm{kmh}^{-1}\) at an instant of time. Now travelling with uniform acceleration for \(10 \mathrm{~s}\), the velocity becomes exactly double. If the wheel radius of the car is \(25 \mathrm{~cm}\), then which of the following is the closest to the number of revolutions that the wheel makes during this 10 s?

1 84
2 95
3 126
4 135
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here