List of top Physics Questions on Motion in a plane asked in Haryana PMT

For any two vectors A and B, if $A\cdot B =|A \times B |$ , the magnitude of C = A + B is equal to

A particle is projected with a velocity $v$ such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where $g$ is acceleration due to gravity)

If $a_1$ and $a_2$ are two non-collinear unit vectors and if $|a_1 + a_2| = \sqrt3$ ,then the value of $(a_1 - a).(2a_1 + a_2)$ is

A small body of mass $m$ slides without friction from the top of a hemisphere of radius $r$. At what height will the body be detached from the centre of the hemisphere?

How long will a passenger sitting at the window of a train travelling at a speed of 54 km$h^{-1}$ see a train,passing by in the opposite direction with a speed of 36 km$h^{-1}$ , if the length of the second train is 150 m?

A truck travelling due north at $20 \,ms$ turns west and travels with same speed. What is the change in velocity?

For a given angle of projection, if the time of flight of a projectile is doubled, the horizontal range will increase to :