List of top Physics Questions on Particle Motion

One second after projection, the horizontal and vertical velocities of a projectile are found to be equal and after one more second, the motion of the projectile is along the horizontal. The horizontal range of the projectile is \[ (g=10~\text{m s}^{-2}) \]

Air flow in an air cooler follows which process?

A ball is released from the top of a tower of height \( h \) meters. It takes \( T \) seconds to reach the ground. What is the position of the ball above the ground in \( T/5 \) seconds?

A particle moving in the x–y plane starts from the origin at \(t = 0\) with an initial velocity \((-\hat{i} + \hat{j}) \, \text{m/s}\) and undergoes an acceleration \((6\hat{i} + 4\hat{j}) \, \text{m/s}^2\). Its displacement after 2 s is:

The correct position (x) - time (t) graph for a particle moving with negative acceleration is:

A ball is thrown upward from the top of a building at an angle of \(30^\circ\) to the horizontal with an initial speed of 15 m/s. If the ball hits the ground after 3 s, find the height of the building. (Acceleration due to gravity \(g = 10 \, \text{m/s}^2\))

A ball is thrown upward from the top of a building at an angle of \(30^\circ\) to the horizontal and with an initial speed of \(20\ \text{m s}^{-1}\). If the ball strikes the ground after \(3\) s, then the height of the building is
\[ (\text{acceleration due to gravity }=10\ \text{m s}^{-2}) \]

A ball is projected from ground into the air. At the height of \(5 \, \text{m}\), its velocity is \(\vec{V}=(5\hat{i}+5\hat{j})\,\text{m s}^{-1}\). The maximum height reached by the ball is \((g=10\,\text{m s}^{-2})\):

A particle is moving along x-axis with velocity \(v=e^{-\beta x}\). At time \(t=0\), the particle is located at \(x=0\). The displacement of the particle as a function of time is: