List of top Physics Questions on Kinematics asked in IIT JAM PH

Two projectiles of identical mass are projected with same initial speed $u$ and angle $\alpha$ in the same plane. They collide at the highest point of their trajectories and stick to each other. Which statement is correct? 

In planar polar co-ordinates, an object's position at time \( t \) is given as \( (r, \theta) = (e^t m, \sqrt{8t} \, \text{rad}) \). The magnitude of its acceleration in m/s\(^2\) at \( t = 0 \) (to the nearest integer) is: