Relative Motion in Two Dimensions
PHXI04:MOTION IN A PLANE

362093 In a river of width 200 \(m\), flow speed is 10 \(m\)/\(s\). A swimmer wants to cross the river along the shortest path and starts swimming with a speed of 20 \(m\)/\(s\). Angle between his velocity and velocity of flow is

1 \(150^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(120^\circ \)
PHXI04:MOTION IN A PLANE

362094 A man wishes to cross a river in a boat. If he crosses the river in minimum time he takes 10 minutes with a drift of 120 \(m\). If he crosses the river taking shortest route, he takes 12.5 minutes. Find velocity of the boat with respect to water.

1 \(20\,\,m/\sec \)
2 \(12\,\,m/\sec \)
3 \(10\,\,m/\sec \)
4 \(8\,\,m/\sec \)
PHXI04:MOTION IN A PLANE

362095 A swimmer can swim in still water with a speed of 4 \(m\)/\(s\). While crossing a river his average speed is 5 \(m\)/\(s\). If he cross the river in the shortest possible time, what is the speed of flow of water?

1 \(4\,m/s\)
2 \(3\,m/s\)
3 \(8\,m/s\)
4 \(6\,m/s\)
PHXI04:MOTION IN A PLANE

362096 To the captain of a ship \(A\) travelling with velocity \({\overrightarrow V _A} = \left( {3\hat i - 2\hat j} \right)km/h\), a second ship \(B\) appears to have a velocity \(\left( {5\hat i + 12\hat j} \right)km/h\). What is the true velocity of the ship \(B\)?

1 \(8\hat i + 6\hat j\)
2 \(8\hat i - 6\hat j\)
3 \(8\hat i - 10\hat j\)
4 \(8\hat i + 10\hat j\)
PHXI04:MOTION IN A PLANE

362097 Car \(A\) is travelling towards positive \(x\)- axis with speed \(10\,m/s\) where as car \(B\) is travelling towards positive \(y\)- axis with speed 10 \(m\)/\(s\). Find the angle made by the velocity of car \(A\) as seen by car \(B\) with positive - axis

1 \(30^\circ \)
2 \(315^\circ \)
3 \(90^\circ \)
4 \({\mathop{\rm Zero}\nolimits} \)
PHXI04:MOTION IN A PLANE

362093 In a river of width 200 \(m\), flow speed is 10 \(m\)/\(s\). A swimmer wants to cross the river along the shortest path and starts swimming with a speed of 20 \(m\)/\(s\). Angle between his velocity and velocity of flow is

1 \(150^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(120^\circ \)
PHXI04:MOTION IN A PLANE

362094 A man wishes to cross a river in a boat. If he crosses the river in minimum time he takes 10 minutes with a drift of 120 \(m\). If he crosses the river taking shortest route, he takes 12.5 minutes. Find velocity of the boat with respect to water.

1 \(20\,\,m/\sec \)
2 \(12\,\,m/\sec \)
3 \(10\,\,m/\sec \)
4 \(8\,\,m/\sec \)
PHXI04:MOTION IN A PLANE

362095 A swimmer can swim in still water with a speed of 4 \(m\)/\(s\). While crossing a river his average speed is 5 \(m\)/\(s\). If he cross the river in the shortest possible time, what is the speed of flow of water?

1 \(4\,m/s\)
2 \(3\,m/s\)
3 \(8\,m/s\)
4 \(6\,m/s\)
PHXI04:MOTION IN A PLANE

362096 To the captain of a ship \(A\) travelling with velocity \({\overrightarrow V _A} = \left( {3\hat i - 2\hat j} \right)km/h\), a second ship \(B\) appears to have a velocity \(\left( {5\hat i + 12\hat j} \right)km/h\). What is the true velocity of the ship \(B\)?

1 \(8\hat i + 6\hat j\)
2 \(8\hat i - 6\hat j\)
3 \(8\hat i - 10\hat j\)
4 \(8\hat i + 10\hat j\)
PHXI04:MOTION IN A PLANE

362097 Car \(A\) is travelling towards positive \(x\)- axis with speed \(10\,m/s\) where as car \(B\) is travelling towards positive \(y\)- axis with speed 10 \(m\)/\(s\). Find the angle made by the velocity of car \(A\) as seen by car \(B\) with positive - axis

1 \(30^\circ \)
2 \(315^\circ \)
3 \(90^\circ \)
4 \({\mathop{\rm Zero}\nolimits} \)
PHXI04:MOTION IN A PLANE

362093 In a river of width 200 \(m\), flow speed is 10 \(m\)/\(s\). A swimmer wants to cross the river along the shortest path and starts swimming with a speed of 20 \(m\)/\(s\). Angle between his velocity and velocity of flow is

1 \(150^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(120^\circ \)
PHXI04:MOTION IN A PLANE

362094 A man wishes to cross a river in a boat. If he crosses the river in minimum time he takes 10 minutes with a drift of 120 \(m\). If he crosses the river taking shortest route, he takes 12.5 minutes. Find velocity of the boat with respect to water.

1 \(20\,\,m/\sec \)
2 \(12\,\,m/\sec \)
3 \(10\,\,m/\sec \)
4 \(8\,\,m/\sec \)
PHXI04:MOTION IN A PLANE

362095 A swimmer can swim in still water with a speed of 4 \(m\)/\(s\). While crossing a river his average speed is 5 \(m\)/\(s\). If he cross the river in the shortest possible time, what is the speed of flow of water?

1 \(4\,m/s\)
2 \(3\,m/s\)
3 \(8\,m/s\)
4 \(6\,m/s\)
PHXI04:MOTION IN A PLANE

362096 To the captain of a ship \(A\) travelling with velocity \({\overrightarrow V _A} = \left( {3\hat i - 2\hat j} \right)km/h\), a second ship \(B\) appears to have a velocity \(\left( {5\hat i + 12\hat j} \right)km/h\). What is the true velocity of the ship \(B\)?

1 \(8\hat i + 6\hat j\)
2 \(8\hat i - 6\hat j\)
3 \(8\hat i - 10\hat j\)
4 \(8\hat i + 10\hat j\)
PHXI04:MOTION IN A PLANE

362097 Car \(A\) is travelling towards positive \(x\)- axis with speed \(10\,m/s\) where as car \(B\) is travelling towards positive \(y\)- axis with speed 10 \(m\)/\(s\). Find the angle made by the velocity of car \(A\) as seen by car \(B\) with positive - axis

1 \(30^\circ \)
2 \(315^\circ \)
3 \(90^\circ \)
4 \({\mathop{\rm Zero}\nolimits} \)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI04:MOTION IN A PLANE

362093 In a river of width 200 \(m\), flow speed is 10 \(m\)/\(s\). A swimmer wants to cross the river along the shortest path and starts swimming with a speed of 20 \(m\)/\(s\). Angle between his velocity and velocity of flow is

1 \(150^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(120^\circ \)
PHXI04:MOTION IN A PLANE

362094 A man wishes to cross a river in a boat. If he crosses the river in minimum time he takes 10 minutes with a drift of 120 \(m\). If he crosses the river taking shortest route, he takes 12.5 minutes. Find velocity of the boat with respect to water.

1 \(20\,\,m/\sec \)
2 \(12\,\,m/\sec \)
3 \(10\,\,m/\sec \)
4 \(8\,\,m/\sec \)
PHXI04:MOTION IN A PLANE

362095 A swimmer can swim in still water with a speed of 4 \(m\)/\(s\). While crossing a river his average speed is 5 \(m\)/\(s\). If he cross the river in the shortest possible time, what is the speed of flow of water?

1 \(4\,m/s\)
2 \(3\,m/s\)
3 \(8\,m/s\)
4 \(6\,m/s\)
PHXI04:MOTION IN A PLANE

362096 To the captain of a ship \(A\) travelling with velocity \({\overrightarrow V _A} = \left( {3\hat i - 2\hat j} \right)km/h\), a second ship \(B\) appears to have a velocity \(\left( {5\hat i + 12\hat j} \right)km/h\). What is the true velocity of the ship \(B\)?

1 \(8\hat i + 6\hat j\)
2 \(8\hat i - 6\hat j\)
3 \(8\hat i - 10\hat j\)
4 \(8\hat i + 10\hat j\)
PHXI04:MOTION IN A PLANE

362097 Car \(A\) is travelling towards positive \(x\)- axis with speed \(10\,m/s\) where as car \(B\) is travelling towards positive \(y\)- axis with speed 10 \(m\)/\(s\). Find the angle made by the velocity of car \(A\) as seen by car \(B\) with positive - axis

1 \(30^\circ \)
2 \(315^\circ \)
3 \(90^\circ \)
4 \({\mathop{\rm Zero}\nolimits} \)
PHXI04:MOTION IN A PLANE

362093 In a river of width 200 \(m\), flow speed is 10 \(m\)/\(s\). A swimmer wants to cross the river along the shortest path and starts swimming with a speed of 20 \(m\)/\(s\). Angle between his velocity and velocity of flow is

1 \(150^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(120^\circ \)
PHXI04:MOTION IN A PLANE

362094 A man wishes to cross a river in a boat. If he crosses the river in minimum time he takes 10 minutes with a drift of 120 \(m\). If he crosses the river taking shortest route, he takes 12.5 minutes. Find velocity of the boat with respect to water.

1 \(20\,\,m/\sec \)
2 \(12\,\,m/\sec \)
3 \(10\,\,m/\sec \)
4 \(8\,\,m/\sec \)
PHXI04:MOTION IN A PLANE

362095 A swimmer can swim in still water with a speed of 4 \(m\)/\(s\). While crossing a river his average speed is 5 \(m\)/\(s\). If he cross the river in the shortest possible time, what is the speed of flow of water?

1 \(4\,m/s\)
2 \(3\,m/s\)
3 \(8\,m/s\)
4 \(6\,m/s\)
PHXI04:MOTION IN A PLANE

362096 To the captain of a ship \(A\) travelling with velocity \({\overrightarrow V _A} = \left( {3\hat i - 2\hat j} \right)km/h\), a second ship \(B\) appears to have a velocity \(\left( {5\hat i + 12\hat j} \right)km/h\). What is the true velocity of the ship \(B\)?

1 \(8\hat i + 6\hat j\)
2 \(8\hat i - 6\hat j\)
3 \(8\hat i - 10\hat j\)
4 \(8\hat i + 10\hat j\)
PHXI04:MOTION IN A PLANE

362097 Car \(A\) is travelling towards positive \(x\)- axis with speed \(10\,m/s\) where as car \(B\) is travelling towards positive \(y\)- axis with speed 10 \(m\)/\(s\). Find the angle made by the velocity of car \(A\) as seen by car \(B\) with positive - axis

1 \(30^\circ \)
2 \(315^\circ \)
3 \(90^\circ \)
4 \({\mathop{\rm Zero}\nolimits} \)