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JEE Advanced 2014 Paper 1 Offline

Numerical
A rocket is moving in a gravity free space with a constant acceleration of 2 ms–2 along + x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in + x direction with a speed of 0.3 ms–1 relative to the rocket. At the same time, another ball is thrown in - x direction with a speed of 0.2 ms–1 from its right end relative to the rocket. The time in seconds when the two balls hit each other is 2

JEE Advanced 2014 Paper 1 Offline

Numerical
Airplanes A and B are flying with constant velocity in the same vertical plane at angles $30^\circ$ and $60^\circ$ with respect to the horizontal respectively as shown in the figure. The speed of A is $100\sqrt 3$ m/s. At time t = 0 s, an observer in A finds B at a distance of 500 m. This observer sees B moving with a constant velocity perpendicular to the line of motion of A. If at t = t0, A just escapes being hit by B, t0 in seconds is 3

IIT-JEE 2011

Numerical
A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a ball forward with a speed of 10 m/s, at an angle of $60^\circ$ to the horizontal. The boy has to move forward by 1.15 m inside the train to catch the ball back at the initial height. The acceleration of the train, in m/s2, is