00. Distance and Displacement
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141236 The speed versus time graph of moving particle is shown in the following figure If ' \(u\) ' is the initial speed at \(t=0, v\) is the speed at time \(t\). ' \(a\) ' is the acceleration and ' \(s\) ' is the distance covered in time ' \(t\) ', then total area OABC is best described using. (Assume \(\mathrm{O}\) as origin).
original image

1 \(\mathrm{S}=\mathrm{u}+\) at
2 \(S=u t+1 / 2 a t^{2}\)
3 \(\mathrm{v}^{2}=\mathrm{u}^{2}+2\) as
4 \(\mathrm{v}=\) at
Motion in One Dimensions

141237 Points \(P, Q\) and \(R\) are in a vertical line such that \(P Q=Q R\). \(A\) ball at \(P\) is allowed to fall freely with zero initial speed. The ratio of the times of descent through \(P Q\) and \(Q R\) is

1 \(1:(\sqrt{2}+1)\)
2 \(1:(\sqrt{2}-1)\)
3 \(1: 2\)
4 \(1: \sqrt{2}\)
Motion in One Dimensions

141238 \(\quad A\) and \(B\) are the ends of a ladder in contact with a vertical wall and the floor respectively as shown in the figure. Let \(u_{B}\) and \(v_{A}\) be the velocities of \(B\) and \(A\) in \(x\) and \(y\) direction respectively. At a time when the angle \(\mathrm{ABO}\) is \(60^{\circ}, u_{B}=1 \mathrm{~m} / \mathrm{s}\), then \(v_{A}\) in \(\mathrm{m} / \mathrm{s}\) is
original image

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

141240 Assertion: The displacement-time graph of a body moving with uniform acceleration is a parabola.
Reason: The displacement is proportional to time for uniformly accelerated motion.

1 If both Assertion and Reason are true and Reason is the correct explanation of assertion.
2 If both Assertion and Reason are true but Reason is not the correct explanation of assertion.
3 If Assertion is true but Reason is false.
4 If both Assertion and Reason are false.
Motion in One Dimensions

141236 The speed versus time graph of moving particle is shown in the following figure If ' \(u\) ' is the initial speed at \(t=0, v\) is the speed at time \(t\). ' \(a\) ' is the acceleration and ' \(s\) ' is the distance covered in time ' \(t\) ', then total area OABC is best described using. (Assume \(\mathrm{O}\) as origin).
original image

1 \(\mathrm{S}=\mathrm{u}+\) at
2 \(S=u t+1 / 2 a t^{2}\)
3 \(\mathrm{v}^{2}=\mathrm{u}^{2}+2\) as
4 \(\mathrm{v}=\) at
Motion in One Dimensions

141237 Points \(P, Q\) and \(R\) are in a vertical line such that \(P Q=Q R\). \(A\) ball at \(P\) is allowed to fall freely with zero initial speed. The ratio of the times of descent through \(P Q\) and \(Q R\) is

1 \(1:(\sqrt{2}+1)\)
2 \(1:(\sqrt{2}-1)\)
3 \(1: 2\)
4 \(1: \sqrt{2}\)
Motion in One Dimensions

141238 \(\quad A\) and \(B\) are the ends of a ladder in contact with a vertical wall and the floor respectively as shown in the figure. Let \(u_{B}\) and \(v_{A}\) be the velocities of \(B\) and \(A\) in \(x\) and \(y\) direction respectively. At a time when the angle \(\mathrm{ABO}\) is \(60^{\circ}, u_{B}=1 \mathrm{~m} / \mathrm{s}\), then \(v_{A}\) in \(\mathrm{m} / \mathrm{s}\) is
original image

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

141240 Assertion: The displacement-time graph of a body moving with uniform acceleration is a parabola.
Reason: The displacement is proportional to time for uniformly accelerated motion.

1 If both Assertion and Reason are true and Reason is the correct explanation of assertion.
2 If both Assertion and Reason are true but Reason is not the correct explanation of assertion.
3 If Assertion is true but Reason is false.
4 If both Assertion and Reason are false.
Motion in One Dimensions

141236 The speed versus time graph of moving particle is shown in the following figure If ' \(u\) ' is the initial speed at \(t=0, v\) is the speed at time \(t\). ' \(a\) ' is the acceleration and ' \(s\) ' is the distance covered in time ' \(t\) ', then total area OABC is best described using. (Assume \(\mathrm{O}\) as origin).
original image

1 \(\mathrm{S}=\mathrm{u}+\) at
2 \(S=u t+1 / 2 a t^{2}\)
3 \(\mathrm{v}^{2}=\mathrm{u}^{2}+2\) as
4 \(\mathrm{v}=\) at
Motion in One Dimensions

141237 Points \(P, Q\) and \(R\) are in a vertical line such that \(P Q=Q R\). \(A\) ball at \(P\) is allowed to fall freely with zero initial speed. The ratio of the times of descent through \(P Q\) and \(Q R\) is

1 \(1:(\sqrt{2}+1)\)
2 \(1:(\sqrt{2}-1)\)
3 \(1: 2\)
4 \(1: \sqrt{2}\)
Motion in One Dimensions

141238 \(\quad A\) and \(B\) are the ends of a ladder in contact with a vertical wall and the floor respectively as shown in the figure. Let \(u_{B}\) and \(v_{A}\) be the velocities of \(B\) and \(A\) in \(x\) and \(y\) direction respectively. At a time when the angle \(\mathrm{ABO}\) is \(60^{\circ}, u_{B}=1 \mathrm{~m} / \mathrm{s}\), then \(v_{A}\) in \(\mathrm{m} / \mathrm{s}\) is
original image

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

141240 Assertion: The displacement-time graph of a body moving with uniform acceleration is a parabola.
Reason: The displacement is proportional to time for uniformly accelerated motion.

1 If both Assertion and Reason are true and Reason is the correct explanation of assertion.
2 If both Assertion and Reason are true but Reason is not the correct explanation of assertion.
3 If Assertion is true but Reason is false.
4 If both Assertion and Reason are false.
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141236 The speed versus time graph of moving particle is shown in the following figure If ' \(u\) ' is the initial speed at \(t=0, v\) is the speed at time \(t\). ' \(a\) ' is the acceleration and ' \(s\) ' is the distance covered in time ' \(t\) ', then total area OABC is best described using. (Assume \(\mathrm{O}\) as origin).
original image

1 \(\mathrm{S}=\mathrm{u}+\) at
2 \(S=u t+1 / 2 a t^{2}\)
3 \(\mathrm{v}^{2}=\mathrm{u}^{2}+2\) as
4 \(\mathrm{v}=\) at
Motion in One Dimensions

141237 Points \(P, Q\) and \(R\) are in a vertical line such that \(P Q=Q R\). \(A\) ball at \(P\) is allowed to fall freely with zero initial speed. The ratio of the times of descent through \(P Q\) and \(Q R\) is

1 \(1:(\sqrt{2}+1)\)
2 \(1:(\sqrt{2}-1)\)
3 \(1: 2\)
4 \(1: \sqrt{2}\)
Motion in One Dimensions

141238 \(\quad A\) and \(B\) are the ends of a ladder in contact with a vertical wall and the floor respectively as shown in the figure. Let \(u_{B}\) and \(v_{A}\) be the velocities of \(B\) and \(A\) in \(x\) and \(y\) direction respectively. At a time when the angle \(\mathrm{ABO}\) is \(60^{\circ}, u_{B}=1 \mathrm{~m} / \mathrm{s}\), then \(v_{A}\) in \(\mathrm{m} / \mathrm{s}\) is
original image

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

141240 Assertion: The displacement-time graph of a body moving with uniform acceleration is a parabola.
Reason: The displacement is proportional to time for uniformly accelerated motion.

1 If both Assertion and Reason are true and Reason is the correct explanation of assertion.
2 If both Assertion and Reason are true but Reason is not the correct explanation of assertion.
3 If Assertion is true but Reason is false.
4 If both Assertion and Reason are false.