HARD
JEE Main/Advance
IMPORTANT
Earn 100

An aeroplane has to go from a point A to another point B1000 km away due 30° west of north. A wind is blowing due north at a speed of 20 m s-1. The airspeed of the plane is 150 m s-1. If the angle at which the pilot should head the plane to reach the point B is sin-11/n west of the line AB, Then find n.

50% studentsanswered this correctly

Important Questions on Kinematics

HARD
JEE Main/Advance
IMPORTANT
During a rainy day, rain is falling vertically with a velocity of 2 m s-1. A boy at rest starts his motion with a constant acceleration of 2 m s-1 along a straight road. If the rate at which the angle of the axis of an umbrella with vertical should be changed is 1/n at t=5 s, so that the rain falls parallel to the axis of the umbrella, then find n.
MEDIUM
JEE Main/Advance
IMPORTANT
Two straight tracks AOB and COD meet each other at right angles at a point O. A person walking at a speed of 5 km h-1 along AOB is at the crossing O at 12 o'clock noon. Another person walking at the same speed along COD reaches the crossing O at 1:30 PM. If the time at which the distance between them is at least 12:T PM, then find T.
MEDIUM
JEE Main/Advance
IMPORTANT

P is a point moving with a constant speed 10 m s-1 such that its velocity vector always maintains an angle 60° with the line OP, as shown in the figure (where O is a fixed point in space). The initial distance between O and P is 100 m. After what time (in sec) shall P reach O

Question Image

HARD
JEE Main/Advance
IMPORTANT
A man standing on the edge of the terrace of a high-rise building throws a stone vertically up with a speed of 20 m s-1. Two seconds later an identical stone is thrown vertically downwards with the same speed of 20 m s-1. Then
HARD
JEE Main/Advance
IMPORTANT
A man in a lift that is ascending with an upward acceleration a, throws a ball vertically upwards with the velocity v with respect to himself and catches it after t1 seconds. Afterward, when the lift is descending with the same acceleration a acting downwards, the man again throws the ball vertically upwards with the same velocity with respect to him and catches it after t2 seconds.
MEDIUM
JEE Main/Advance
IMPORTANT
At an instant, particle A is at origin and moving with constant velocity 3i^+4j^ m s-1 and particle B is at 4 m, 4 m and moving with constant velocity 4i^-3j^ m s-1. Then
MEDIUM
JEE Main/Advance
IMPORTANT
A person is standing on a truck is moving with a constant velocity of 15 m s-1 on a horizontal road. The man throws a ball in such a way that it returns to his hand after the truck has moved 60 m g=10 m s-2.
MEDIUM
JEE Main/Advance
IMPORTANT
Two boats A and B, having the same speed relative to the river are moving in a river. The boat A moves normal to the river current, as observed by an observer moving with the velocity of the river current. The boat B moves normal to the river, as observed by the observer on the ground. Choose the incorrect options.