List of top Physics Questions on Motion in a plane asked in AMUEEE

Three particles $ P, Q $ and $ R $ are at rest at the vertices of an equilateral triangle of side $ s $ . Each of the particles starts moving with constant speed $ v \,ms^{-1}. P $ is moving along $ PQ, Q $ along $ QR $ and $ R $ along $ RP $ . The particles will meet each other at time $ t $ given by

The expression of the trajectory of a projectile is given as $ y = px - qx^2 $ , where $ y $ and $ x $ are respectively the vertical and horizontal displacements and $ p $ and $ q $ are constants. The time of flight of the projectile is

A shell fired from a gun at sea level rises to a maximum height of $ 5\, km $ when fired at a ship $ 20 \,km $ away. The muzzle velocity should be

From a building two balls $A$ and $B$ are thrown such that $A$ is thrown upwards and $B$ downwards with the same speed (both vertically). If $v_A$ and $v_B$ are their respective velocities on reaching the ground then,

Particle $A$ moves along the line $ y=4\sqrt{3}\,m $ with constant velocity v of magnitude $2.0 \,m/s$ and directed parallel to the positive $x$ -axis (see figure). Particle $B$ starts at the origin with zero speed and constant accelerationa (of magnitude $ 4.0\,m/s^{2} $ ) at the same instant that the particle A passes the y axis. The angle $ \theta $ between a and the positive $y$ axis that would result in a collision between these two particles should have a value equal to

What is approximately the centripetal acceleration (in units of acceleration due to gravity on earth, $g = 10\,m/s^{-2}$) of an air-craft flying at a speed of $400\,m/s$ through a circular arc of radius $0.6\,km$ ?

Resultant of two vectors $\vec{A}$ and $\vec{B}$ is of magnitude $P$. If $\vec{B}$ is reversed, then resultant is of magnitude $Q$. What is the value of $P^2 + Q^2$ ?