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

A small ball is tied to a light inextensible thread of length \(64\,cm\) and is whirled in a vertical circle. If the thread is just taut at the highest point of the circle, then the minimum speed of the ball at the lowest point is: (Take \(g=10\,m/s^{2}\))

A car moves at a speed of \(600\,\text{km/h}\) on a frictionless banked road with \(\theta=30^{\circ}\). Take \(g=10\,\text{m/s}^{2}\). Find the radius of the road.

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______.

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\(^2\).

Two blocks of masses \(3kg\) and \(1kg\) are placed on a smooth horizontal surface. A horizontal force of \(5N\) acts on the system. Find the contact force between the two blocks.

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: