143757 A bat and an insect are flying with velocities \(\overrightarrow{\mathbf{V}}_{\text {BG }}\) and \(\overrightarrow{\mathbf{V}}_{\text {IG }}\) respectively with respect to ground (in unit vector \(\hat{\mathbf{i}}, \hat{\mathbf{j}}\) rotation)
\(\vec{V}_{\text {BG }}=3.5 \hat{\mathbf{i}}+9.2 \hat{\mathbf{j}}, \overrightarrow{\mathrm{V}}_{\mathrm{IG}}=-2.5 \hat{\mathbf{i}}+1.8 \hat{\mathbf{j}}\)
Calculate the velocity of the insect with respect to bat.

143758 An object falls from a bridge \(45 \mathrm{~m}\) above the water level in a river. If falls directly into a boat moving with constant speed. The boat was \(18 \mathrm{~m}\) away from the point of impact. What is the speed of the boat (in \(\mathrm{m} / \mathrm{s}\) )?

143759 An automobile of mass \(m\) is crossing over a concave over bridge with speed \(v\). If radius of bridge is \(R\). The thrust on the bridge at the lowest point will be

143760 A boat is moving from the east bank to the west bank on a south flowing river. If the speed of the boat is \(4 \mathrm{~km} / \mathrm{h}\) and that of the river is 3 \(\mathrm{km} / \mathrm{h}\). If the width of the river is \(2 \mathrm{~km}\), the distance travelled by the boat is

143740 A man can swim with a speed of \(4 \mathrm{kmh}^{-1}\) in still water. How long does he take to cross a river 1 \(\mathrm{km}\) wide, if the river flows steadily \(3 \mathrm{kmh}^{-1}\) and he makes his strokes normal to the river current.

143757 A bat and an insect are flying with velocities \(\overrightarrow{\mathbf{V}}_{\text {BG }}\) and \(\overrightarrow{\mathbf{V}}_{\text {IG }}\) respectively with respect to ground (in unit vector \(\hat{\mathbf{i}}, \hat{\mathbf{j}}\) rotation)
\(\vec{V}_{\text {BG }}=3.5 \hat{\mathbf{i}}+9.2 \hat{\mathbf{j}}, \overrightarrow{\mathrm{V}}_{\mathrm{IG}}=-2.5 \hat{\mathbf{i}}+1.8 \hat{\mathbf{j}}\)
Calculate the velocity of the insect with respect to bat.

143758 An object falls from a bridge \(45 \mathrm{~m}\) above the water level in a river. If falls directly into a boat moving with constant speed. The boat was \(18 \mathrm{~m}\) away from the point of impact. What is the speed of the boat (in \(\mathrm{m} / \mathrm{s}\) )?

143759 An automobile of mass \(m\) is crossing over a concave over bridge with speed \(v\). If radius of bridge is \(R\). The thrust on the bridge at the lowest point will be

143760 A boat is moving from the east bank to the west bank on a south flowing river. If the speed of the boat is \(4 \mathrm{~km} / \mathrm{h}\) and that of the river is 3 \(\mathrm{km} / \mathrm{h}\). If the width of the river is \(2 \mathrm{~km}\), the distance travelled by the boat is

143740 A man can swim with a speed of \(4 \mathrm{kmh}^{-1}\) in still water. How long does he take to cross a river 1 \(\mathrm{km}\) wide, if the river flows steadily \(3 \mathrm{kmh}^{-1}\) and he makes his strokes normal to the river current.

143757 A bat and an insect are flying with velocities \(\overrightarrow{\mathbf{V}}_{\text {BG }}\) and \(\overrightarrow{\mathbf{V}}_{\text {IG }}\) respectively with respect to ground (in unit vector \(\hat{\mathbf{i}}, \hat{\mathbf{j}}\) rotation)
\(\vec{V}_{\text {BG }}=3.5 \hat{\mathbf{i}}+9.2 \hat{\mathbf{j}}, \overrightarrow{\mathrm{V}}_{\mathrm{IG}}=-2.5 \hat{\mathbf{i}}+1.8 \hat{\mathbf{j}}\)
Calculate the velocity of the insect with respect to bat.

143758 An object falls from a bridge \(45 \mathrm{~m}\) above the water level in a river. If falls directly into a boat moving with constant speed. The boat was \(18 \mathrm{~m}\) away from the point of impact. What is the speed of the boat (in \(\mathrm{m} / \mathrm{s}\) )?

143759 An automobile of mass \(m\) is crossing over a concave over bridge with speed \(v\). If radius of bridge is \(R\). The thrust on the bridge at the lowest point will be

143760 A boat is moving from the east bank to the west bank on a south flowing river. If the speed of the boat is \(4 \mathrm{~km} / \mathrm{h}\) and that of the river is 3 \(\mathrm{km} / \mathrm{h}\). If the width of the river is \(2 \mathrm{~km}\), the distance travelled by the boat is

143740 A man can swim with a speed of \(4 \mathrm{kmh}^{-1}\) in still water. How long does he take to cross a river 1 \(\mathrm{km}\) wide, if the river flows steadily \(3 \mathrm{kmh}^{-1}\) and he makes his strokes normal to the river current.

143757 A bat and an insect are flying with velocities \(\overrightarrow{\mathbf{V}}_{\text {BG }}\) and \(\overrightarrow{\mathbf{V}}_{\text {IG }}\) respectively with respect to ground (in unit vector \(\hat{\mathbf{i}}, \hat{\mathbf{j}}\) rotation)
\(\vec{V}_{\text {BG }}=3.5 \hat{\mathbf{i}}+9.2 \hat{\mathbf{j}}, \overrightarrow{\mathrm{V}}_{\mathrm{IG}}=-2.5 \hat{\mathbf{i}}+1.8 \hat{\mathbf{j}}\)
Calculate the velocity of the insect with respect to bat.

143758 An object falls from a bridge \(45 \mathrm{~m}\) above the water level in a river. If falls directly into a boat moving with constant speed. The boat was \(18 \mathrm{~m}\) away from the point of impact. What is the speed of the boat (in \(\mathrm{m} / \mathrm{s}\) )?

143759 An automobile of mass \(m\) is crossing over a concave over bridge with speed \(v\). If radius of bridge is \(R\). The thrust on the bridge at the lowest point will be

143760 A boat is moving from the east bank to the west bank on a south flowing river. If the speed of the boat is \(4 \mathrm{~km} / \mathrm{h}\) and that of the river is 3 \(\mathrm{km} / \mathrm{h}\). If the width of the river is \(2 \mathrm{~km}\), the distance travelled by the boat is

143740 A man can swim with a speed of \(4 \mathrm{kmh}^{-1}\) in still water. How long does he take to cross a river 1 \(\mathrm{km}\) wide, if the river flows steadily \(3 \mathrm{kmh}^{-1}\) and he makes his strokes normal to the river current.

143757 A bat and an insect are flying with velocities \(\overrightarrow{\mathbf{V}}_{\text {BG }}\) and \(\overrightarrow{\mathbf{V}}_{\text {IG }}\) respectively with respect to ground (in unit vector \(\hat{\mathbf{i}}, \hat{\mathbf{j}}\) rotation)
\(\vec{V}_{\text {BG }}=3.5 \hat{\mathbf{i}}+9.2 \hat{\mathbf{j}}, \overrightarrow{\mathrm{V}}_{\mathrm{IG}}=-2.5 \hat{\mathbf{i}}+1.8 \hat{\mathbf{j}}\)
Calculate the velocity of the insect with respect to bat.

143758 An object falls from a bridge \(45 \mathrm{~m}\) above the water level in a river. If falls directly into a boat moving with constant speed. The boat was \(18 \mathrm{~m}\) away from the point of impact. What is the speed of the boat (in \(\mathrm{m} / \mathrm{s}\) )?

143759 An automobile of mass \(m\) is crossing over a concave over bridge with speed \(v\). If radius of bridge is \(R\). The thrust on the bridge at the lowest point will be

143760 A boat is moving from the east bank to the west bank on a south flowing river. If the speed of the boat is \(4 \mathrm{~km} / \mathrm{h}\) and that of the river is 3 \(\mathrm{km} / \mathrm{h}\). If the width of the river is \(2 \mathrm{~km}\), the distance travelled by the boat is

143740 A man can swim with a speed of \(4 \mathrm{kmh}^{-1}\) in still water. How long does he take to cross a river 1 \(\mathrm{km}\) wide, if the river flows steadily \(3 \mathrm{kmh}^{-1}\) and he makes his strokes normal to the river current.