Relative Velocity in 2D
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 30∘
 60∘
 sin −1(35)
 cos −1(35)
 Vertically along a straight path as seen by an observer on the ground near the target
 On a parabolic path as seen by an observer on the ground near the target
 On a zigzag path as seen by pilot in the plane
 On a parabolic path as seen by pilot in the plane
A boy throws a ball upwards with velocity v0 = 20 m/s . The wind imparts a horizontal acceleration of 4 m/s2 to the left.
The angle θ at which the ball must be thrown so that the ball returns to the boy's hand is ( g = 10m/s2 )
Two particles A and B are moving with uniform velocity as shown in the figure given below at t = 0.
What is the shortest distance between two particles?
An aeroplane pilot wishes to fly due west. A wind of 100 km/h is blowing toward the south. If the airspeed of the plane (its speed in still air) is 300 km/h, I which direction should the pilot head? What is the speed of the plane w.r.t. the ground?

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A river is flowing with a speed of 1 km/hr. A swimmer wants to go to point 'C' starting from 'A'. He swims with a speed of 5 km/hr at an angle θ w.r.t the river flow. If AB = BC = 400 m. At what angle with river bank should swimmer swim?
θ=45∘
θ=60∘
θ=37∘
θ=53∘
A political party has to start its procession in an area where wind is blowing at a speed of 41.4 km/h and party flags on the vehicles are fluttering along northeast direction. If the procession starts with a speed of 40 km/h towards north, find the direction of flags on the vehicles.
south of east
north of east
north of east
south of east
Three particles A, B and C are situated at the vertices of an equilateral triangle ABC of side 'd' at t = 0. Each of the particles moves with constant speed v. A always has its velocity along AB, B along BC and C along CA. At what time will the particles meet each other?
A river flows due south with a speed of 2.0 m/s. A man steers a motorboat across the river; his velocity relative to the water is 4 m/s due east. The river is 800 m wide. What is his velocity relative to the earth? Assume North as positive ydirection.
A boat moves relative to water with a velocity 'v' which is n times less than the river flow velocity u. At what angle to the north direction must the boat move to minimize drifting if the river flows from west to east?
θ=sin−1n
θ=cos−11n
θ=sin−11n
none of these