List of top Physics Questions on Motion in a straight line asked in MET

Two points move in the same straight line starting at the same moment from the same point. One moves with velocity \(u\) and the other with acceleration \(f\). The greatest distance between them is:
The acceleration due to gravity becomes \( \frac{g}{2} \) at a height equal to:
Two stones having different masses \( m_1 \) and \( m_2 \) are projected at angles \( \theta \) and \( (90^\circ - \theta) \) with same velocity from the same point. The ratio of their maximum heights is:
If the radius of a planet is three times the radius of the earth. Both have same mass-densities. \( v_P \) and \( v_E \) are the escape velocities of the planet and the earth respectively, then
Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to \(R^{-5/2}\), then \(T^2\) is proportional to :
A point initially at rest moves along x-axis. Its acceleration varies with time as \( a = (6t + 5)\, \text{m/s}^2 \). If it starts from origin, the distance covered in 2 s is:
The displacement of an oscillating particle is given by \( y = A \sin[Bx + Ct + Dt] \). The dimensional formula for \( [ABCD] \) is:
The displacement-time graph of a particle moving along a straight line is shown in the figure. The acceleration-time graph of this particle is:
The acceleration-time graph of a body is shown below. The most probable velocity-time graph of the body is
A body starts from origin and moves along x-axis with velocity \(v = (4t^3 - 2t)\). What is the acceleration at distance 2 m from origin?
The moment of inertia of a disc of mass \(m\) and radius \(R\) about an axis, which is tangential to the circumference of the disc and parallel to its diameter is
Escape velocity at surface of earth is \(11.2\ \text{km/s}\). Escape velocity from a planet whose mass is the same as that of earth and radius \(1/4\) that of earth, is
The acceleration of a particle performing SHM is \( 12 \, \text{cm/s}^2 \) at a distance of 3 cm from the mean position. Its time period is:
Escape velocity from earth's surface is 11 km/s. If the radius of a planet is double that of earth and the density is the same as that of earth, then the escape velocity from this planet will be:
A bullet comes out of the barrel of gun of length 2 m with a speed 80 m/s. The average acceleration of the bullet is
The rms velocity of molecules of a gas of density $4~\text{kg m}^{-3}$ and pressure $1.2 \times 10^{5}~\text{N m}^{-2}$ is
The condensation polymer among the following is
The one which decreases with dilution is
The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become:
If the length of a simple pendulum is increased by 44%, the percentage increase in its time period is:
From Kepler's third law, the square of the period of revolution ($T$) is proportional to the cube of the semi-major axis ($R$). If a planet has $T_{p = 27T_{e}$, then: