143689 A man is walking due east at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The rain appears to him to come down vertically at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The actual velocity and direction of rainfall with the vertical respectively are

143690 The initial velocity of a particle, \(\overrightarrow{\mathbf{u}}=4 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}\). It is moving with uniform acceleration \(\overrightarrow{\mathbf{a}}=0.4 \hat{\mathbf{i}}+\mathbf{0 . 3} \hat{\mathbf{j}}\). Its velocity after 10 seconds is:

143691 A particle is moving eastwards with a velocity of \(15 \mathrm{~m} / \mathrm{s}\). In a time of \(10 \mathrm{~s}\), the velocity changes to \(15 \mathrm{~m} / \mathrm{s}\) northwards. Average acceleration during this time is, in \(\mathrm{m} / \mathrm{s}^{2}\).

143692 A wheel of radius \(2 \mathrm{~cm}\) is at rest on the horizontal surface. A point \(P\) on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point \(P\) after half rotation of wheel is

143693 Two persons \(A\) and \(B\) are located in \(X-Y\) plane at the points \((0,0)\) and \((0,10)\) respectively. (The distances are measured in MKS unit). At a time \(t=0\), they start moving simultaneously with velocities \(\overrightarrow{\mathbf{v}}_{\mathrm{a}}=\mathbf{2} \hat{\mathbf{j}} \mathbf{~ m s}^{-1}\) and \(\quad \overrightarrow{\mathrm{v}}_{\mathrm{b}}=2 \hat{\mathrm{i}} \mathrm{ms}^{-1}\) respectively. The time after which \(A\) and \(B\) are at their closest distance is

143689 A man is walking due east at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The rain appears to him to come down vertically at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The actual velocity and direction of rainfall with the vertical respectively are

143690 The initial velocity of a particle, \(\overrightarrow{\mathbf{u}}=4 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}\). It is moving with uniform acceleration \(\overrightarrow{\mathbf{a}}=0.4 \hat{\mathbf{i}}+\mathbf{0 . 3} \hat{\mathbf{j}}\). Its velocity after 10 seconds is:

143691 A particle is moving eastwards with a velocity of \(15 \mathrm{~m} / \mathrm{s}\). In a time of \(10 \mathrm{~s}\), the velocity changes to \(15 \mathrm{~m} / \mathrm{s}\) northwards. Average acceleration during this time is, in \(\mathrm{m} / \mathrm{s}^{2}\).

143692 A wheel of radius \(2 \mathrm{~cm}\) is at rest on the horizontal surface. A point \(P\) on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point \(P\) after half rotation of wheel is

143693 Two persons \(A\) and \(B\) are located in \(X-Y\) plane at the points \((0,0)\) and \((0,10)\) respectively. (The distances are measured in MKS unit). At a time \(t=0\), they start moving simultaneously with velocities \(\overrightarrow{\mathbf{v}}_{\mathrm{a}}=\mathbf{2} \hat{\mathbf{j}} \mathbf{~ m s}^{-1}\) and \(\quad \overrightarrow{\mathrm{v}}_{\mathrm{b}}=2 \hat{\mathrm{i}} \mathrm{ms}^{-1}\) respectively. The time after which \(A\) and \(B\) are at their closest distance is

143689 A man is walking due east at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The rain appears to him to come down vertically at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The actual velocity and direction of rainfall with the vertical respectively are

143690 The initial velocity of a particle, \(\overrightarrow{\mathbf{u}}=4 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}\). It is moving with uniform acceleration \(\overrightarrow{\mathbf{a}}=0.4 \hat{\mathbf{i}}+\mathbf{0 . 3} \hat{\mathbf{j}}\). Its velocity after 10 seconds is:

143691 A particle is moving eastwards with a velocity of \(15 \mathrm{~m} / \mathrm{s}\). In a time of \(10 \mathrm{~s}\), the velocity changes to \(15 \mathrm{~m} / \mathrm{s}\) northwards. Average acceleration during this time is, in \(\mathrm{m} / \mathrm{s}^{2}\).

143692 A wheel of radius \(2 \mathrm{~cm}\) is at rest on the horizontal surface. A point \(P\) on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point \(P\) after half rotation of wheel is

143693 Two persons \(A\) and \(B\) are located in \(X-Y\) plane at the points \((0,0)\) and \((0,10)\) respectively. (The distances are measured in MKS unit). At a time \(t=0\), they start moving simultaneously with velocities \(\overrightarrow{\mathbf{v}}_{\mathrm{a}}=\mathbf{2} \hat{\mathbf{j}} \mathbf{~ m s}^{-1}\) and \(\quad \overrightarrow{\mathrm{v}}_{\mathrm{b}}=2 \hat{\mathrm{i}} \mathrm{ms}^{-1}\) respectively. The time after which \(A\) and \(B\) are at their closest distance is

143689 A man is walking due east at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The rain appears to him to come down vertically at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The actual velocity and direction of rainfall with the vertical respectively are

143690 The initial velocity of a particle, \(\overrightarrow{\mathbf{u}}=4 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}\). It is moving with uniform acceleration \(\overrightarrow{\mathbf{a}}=0.4 \hat{\mathbf{i}}+\mathbf{0 . 3} \hat{\mathbf{j}}\). Its velocity after 10 seconds is:

143691 A particle is moving eastwards with a velocity of \(15 \mathrm{~m} / \mathrm{s}\). In a time of \(10 \mathrm{~s}\), the velocity changes to \(15 \mathrm{~m} / \mathrm{s}\) northwards. Average acceleration during this time is, in \(\mathrm{m} / \mathrm{s}^{2}\).

143692 A wheel of radius \(2 \mathrm{~cm}\) is at rest on the horizontal surface. A point \(P\) on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point \(P\) after half rotation of wheel is

143693 Two persons \(A\) and \(B\) are located in \(X-Y\) plane at the points \((0,0)\) and \((0,10)\) respectively. (The distances are measured in MKS unit). At a time \(t=0\), they start moving simultaneously with velocities \(\overrightarrow{\mathbf{v}}_{\mathrm{a}}=\mathbf{2} \hat{\mathbf{j}} \mathbf{~ m s}^{-1}\) and \(\quad \overrightarrow{\mathrm{v}}_{\mathrm{b}}=2 \hat{\mathrm{i}} \mathrm{ms}^{-1}\) respectively. The time after which \(A\) and \(B\) are at their closest distance is

143689 A man is walking due east at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The rain appears to him to come down vertically at the rate of \(2 \mathrm{~km} / \mathrm{h}\). The actual velocity and direction of rainfall with the vertical respectively are

143690 The initial velocity of a particle, \(\overrightarrow{\mathbf{u}}=4 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}\). It is moving with uniform acceleration \(\overrightarrow{\mathbf{a}}=0.4 \hat{\mathbf{i}}+\mathbf{0 . 3} \hat{\mathbf{j}}\). Its velocity after 10 seconds is:

143691 A particle is moving eastwards with a velocity of \(15 \mathrm{~m} / \mathrm{s}\). In a time of \(10 \mathrm{~s}\), the velocity changes to \(15 \mathrm{~m} / \mathrm{s}\) northwards. Average acceleration during this time is, in \(\mathrm{m} / \mathrm{s}^{2}\).

143692 A wheel of radius \(2 \mathrm{~cm}\) is at rest on the horizontal surface. A point \(P\) on the circumference of the wheel is in contact with the horizontal surface. When the wheel rolls without slipping on the surface, the displacement of point \(P\) after half rotation of wheel is

143693 Two persons \(A\) and \(B\) are located in \(X-Y\) plane at the points \((0,0)\) and \((0,10)\) respectively. (The distances are measured in MKS unit). At a time \(t=0\), they start moving simultaneously with velocities \(\overrightarrow{\mathbf{v}}_{\mathrm{a}}=\mathbf{2} \hat{\mathbf{j}} \mathbf{~ m s}^{-1}\) and \(\quad \overrightarrow{\mathrm{v}}_{\mathrm{b}}=2 \hat{\mathrm{i}} \mathrm{ms}^{-1}\) respectively. The time after which \(A\) and \(B\) are at their closest distance is