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Recent questions tagged relative-velocity-in-two-dimensions

Rain is falling vertically with a speed of $4ms^{-1}$.A man riding a bicycle is travelling at a speed of $3ms^{-1}$ in the north to south direction.In order to protect himself from rain,the man should hold his umbrella at an angle $\theta$ given by

asked Aug 14, 2014 by sreemathi.v

1 answer

Two persons P and Q are standing 54m apart on a long horizontal belt moving with a speed of $4ms^{-1}$ in the direction from P to Q.Person P rolls a round stone towards person Q with speed of $9ms^{-1}$ with respect to the belt.The velocity of stone with respect to an observer on a stationary platform is

asked Aug 14, 2014 by sreemathi.v

1 answer

A boat heading due north crosses a wide river with a speed of 10.0 km/h relative to the water. The water in the river has a uniform speed of 5.00 km/h due east relative to the Earth. Determine the velocity of the boat relative to an observer standing on either bank.

asked Aug 13, 2014 by sreemathi.v

1 answer

The operator of a boat wishes to cross a 5-kilometer-wide river that is flowing to the east at 10 meters per second.He wishes to reach the exact point on the opposite shore 15 minutes after starting.At what speed and in what direction should the boat travel?

asked Aug 13, 2014 by sreemathi.v

1 answer

A person is driving a car towards east at a speed of 80 km/hr. A train appears to move towards north with a velocity of $80\sqrt{3}$ km/hr to the person driving the car. Find the speed of the train as measured with respect to earth.

asked Aug 13, 2014 by sreemathi.v

1 answer

A boy is riding a cycle with a speed of $5\sqrt3$m/s towards east along a straight line.It starts raining with a speed of 15m/s in the vertical direction.What is the direction of rainfall as seen by the boy.

asked Aug 13, 2014 by sreemathi.v

1 answer

A large van has a velocity 30m/s at $20^{\large\circ}S$ of E in still air.A gust of wind of 20m/s due East relative to the Earth strikes the van.What is the resultant velocity of the van relative to the Earth,during the gust

asked Aug 13, 2014 by sreemathi.v

1 answer

The current in the river is 1.0m/s.A woman swims 300m down stream and then back to her starting point without stopping.If she can swim $2.0m/s$ is still water,determine the time required for the round trip.

asked Aug 13, 2014 by sreemathi.v

1 answer

The police are chasing a bank robber.While driving at 50m/s,they fire a bullet to shoot out a tire of his car.The police gun shoots bullets at 300m/s.What is the bullet's speed as measured by a TV camera crew parked beside the road?

asked Aug 13, 2014 by sreemathi.v

1 answer

Rain is falling vertically with a speed of $20\;ms^{-1}$. A person is running in rain (from east) with a velocity of $5 ms^{-1}$ and a wind is blowing with speed of $15ms ^{-1}$ (from west).The angle with the vertical at which the person should hold his umbrella is

asked Jun 28, 2013 by meena.p

1 answer

A motor boat is to reach at a point $30^{\circ}$ upstream on the otherside of river flowing with velocity $5m/s$. Velocity of motor boat with respect to water is $5 \sqrt3 m/s$ .The driver should steer the boat at an angle

asked Jun 27, 2013 by meena.p

1 answer

To a man walking at the rate of 3 km/hr the rain appears to fall vertically. When he increases the speed to 6 km/hr it appears to meet him at an angle of $45^{\circ}$ with vertical. Find the speed of rain.

asked Jun 26, 2013 by meena.p

1 answer

Two fixed frictionless inclined planes making angle $30 ^{\circ}$ and $60 ^{\circ}$ with the vertical are shown. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B

asked Jun 24, 2013 by meena.p

1 answer

Rain is falling at the speed of 4 km/hr from west direction making an angle $30^{\circ}$ with vertical. At what speed should a man walk eastward, such that he has to hold his umbrella vertically to protect himself

asked Jun 23, 2013 by meena.p

1 answer

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