00. Distance and Displacement
Motion in One Dimensions

141371 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2 \mathrm{~m}\). The speed of the system, will be

1 \(3 v\)
2 \(\frac{\mathrm{V}}{2}\)
3 \(\frac{\mathrm{V}}{3}\)
4 \(2 \mathrm{v}\)
Motion in One Dimensions

141372 Two boys are standing at the ends \(A\) and \(B\) of a ground, where \(A B=a\). The boy at \(B\) starts running in a direction perpendicular to \(A B\) with velocity \(v_{1}\). The boy at \(A\) starts running simultaneously with velocity \(v\) and catches the other boy is a time \(t\), where \(t\) is

1 \(\frac{a}{\sqrt{v^{2}+v_{1}^{2}}}\)
2 \(\sqrt{\frac{a^{2}}{v^{2}-v_{1}^{2}}}\)
3 \(\frac{a}{\left(v^{2}-v_{1}\right)}\)
4 \(\frac{a}{\left(v+v_{1}\right)}\)
Motion in One Dimensions

141374 Consider a rubber ball freely falling from a height \(h=4.9 \mathrm{~m}\) onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then, the velocity as a function of time the height as function of time will be

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141375 A body is at rest at \(x=0\). At \(t=0\), it starts moving in the positive \(x\)-direction with a constant acceleration. At the same instant, another body passes through \(x=0\) moving in the positive \(x\)-direction with a constant speed. The position of the first body is given by \(x_{1}(t)\) after time \(t\) and that of the second body by \(x_{2}\) (t) after the same time interval. Which of the following graphs correctly describes \(\left(\mathrm{x}_{1}-\mathrm{x}_{2}\right)\) as a function of time?

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141371 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2 \mathrm{~m}\). The speed of the system, will be

1 \(3 v\)
2 \(\frac{\mathrm{V}}{2}\)
3 \(\frac{\mathrm{V}}{3}\)
4 \(2 \mathrm{v}\)
Motion in One Dimensions

141372 Two boys are standing at the ends \(A\) and \(B\) of a ground, where \(A B=a\). The boy at \(B\) starts running in a direction perpendicular to \(A B\) with velocity \(v_{1}\). The boy at \(A\) starts running simultaneously with velocity \(v\) and catches the other boy is a time \(t\), where \(t\) is

1 \(\frac{a}{\sqrt{v^{2}+v_{1}^{2}}}\)
2 \(\sqrt{\frac{a^{2}}{v^{2}-v_{1}^{2}}}\)
3 \(\frac{a}{\left(v^{2}-v_{1}\right)}\)
4 \(\frac{a}{\left(v+v_{1}\right)}\)
Motion in One Dimensions

141374 Consider a rubber ball freely falling from a height \(h=4.9 \mathrm{~m}\) onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then, the velocity as a function of time the height as function of time will be

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141375 A body is at rest at \(x=0\). At \(t=0\), it starts moving in the positive \(x\)-direction with a constant acceleration. At the same instant, another body passes through \(x=0\) moving in the positive \(x\)-direction with a constant speed. The position of the first body is given by \(x_{1}(t)\) after time \(t\) and that of the second body by \(x_{2}\) (t) after the same time interval. Which of the following graphs correctly describes \(\left(\mathrm{x}_{1}-\mathrm{x}_{2}\right)\) as a function of time?

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141371 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2 \mathrm{~m}\). The speed of the system, will be

1 \(3 v\)
2 \(\frac{\mathrm{V}}{2}\)
3 \(\frac{\mathrm{V}}{3}\)
4 \(2 \mathrm{v}\)
Motion in One Dimensions

141372 Two boys are standing at the ends \(A\) and \(B\) of a ground, where \(A B=a\). The boy at \(B\) starts running in a direction perpendicular to \(A B\) with velocity \(v_{1}\). The boy at \(A\) starts running simultaneously with velocity \(v\) and catches the other boy is a time \(t\), where \(t\) is

1 \(\frac{a}{\sqrt{v^{2}+v_{1}^{2}}}\)
2 \(\sqrt{\frac{a^{2}}{v^{2}-v_{1}^{2}}}\)
3 \(\frac{a}{\left(v^{2}-v_{1}\right)}\)
4 \(\frac{a}{\left(v+v_{1}\right)}\)
Motion in One Dimensions

141374 Consider a rubber ball freely falling from a height \(h=4.9 \mathrm{~m}\) onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then, the velocity as a function of time the height as function of time will be

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141375 A body is at rest at \(x=0\). At \(t=0\), it starts moving in the positive \(x\)-direction with a constant acceleration. At the same instant, another body passes through \(x=0\) moving in the positive \(x\)-direction with a constant speed. The position of the first body is given by \(x_{1}(t)\) after time \(t\) and that of the second body by \(x_{2}\) (t) after the same time interval. Which of the following graphs correctly describes \(\left(\mathrm{x}_{1}-\mathrm{x}_{2}\right)\) as a function of time?

1 original image
2 original image
3 original image
4 original image
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Motion in One Dimensions

141371 A particle of mass \(m\) moving with velocity \(v\) collides with a stationary particle of mass \(2 \mathrm{~m}\). The speed of the system, will be

1 \(3 v\)
2 \(\frac{\mathrm{V}}{2}\)
3 \(\frac{\mathrm{V}}{3}\)
4 \(2 \mathrm{v}\)
Motion in One Dimensions

141372 Two boys are standing at the ends \(A\) and \(B\) of a ground, where \(A B=a\). The boy at \(B\) starts running in a direction perpendicular to \(A B\) with velocity \(v_{1}\). The boy at \(A\) starts running simultaneously with velocity \(v\) and catches the other boy is a time \(t\), where \(t\) is

1 \(\frac{a}{\sqrt{v^{2}+v_{1}^{2}}}\)
2 \(\sqrt{\frac{a^{2}}{v^{2}-v_{1}^{2}}}\)
3 \(\frac{a}{\left(v^{2}-v_{1}\right)}\)
4 \(\frac{a}{\left(v+v_{1}\right)}\)
Motion in One Dimensions

141374 Consider a rubber ball freely falling from a height \(h=4.9 \mathrm{~m}\) onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then, the velocity as a function of time the height as function of time will be

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141375 A body is at rest at \(x=0\). At \(t=0\), it starts moving in the positive \(x\)-direction with a constant acceleration. At the same instant, another body passes through \(x=0\) moving in the positive \(x\)-direction with a constant speed. The position of the first body is given by \(x_{1}(t)\) after time \(t\) and that of the second body by \(x_{2}\) (t) after the same time interval. Which of the following graphs correctly describes \(\left(\mathrm{x}_{1}-\mathrm{x}_{2}\right)\) as a function of time?

1 original image
2 original image
3 original image
4 original image