List of top Physics Questions on Motion in a plane with constant acceleration

The velocity of a particle is given as} \[ \vec{v}=-x\hat{i}+2y\hat{j}-z\hat{k}\ \text{m/s}. \] The magnitude of acceleration at the point \((1,2,4)\) is _____ m/s\(^2\).

At $t = 0$, a body of mass 100 g starts moving under the influence of a force $(5\hat{i} + 10\hat{j})$ N. After 2 s its position is $(2x\hat{i} + 5y\hat{j})$ m. The ratio $x : y$ is______.

Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross each other at time \( t = 0 \), for the first time. The maximum possible number of crossing(s) (including the crossing at \( t = 0 \)) is: