List of top Physics Questions on Kinematics

Water drops fall from a tap on the floor, \(5\) m below, at regular intervals of time. The first drop strikes the floor when the sixth drop begins to fall. The height at which the fourth drop will be from the ground, at the instant when the first drop strikes the ground, is ________ m. (\( g = 10 \, \text{m s}^{-2} \))

Balls are dropped at regular intervals from height 5 m. If the first ball touches the ground when \(6^{th}\) ball is about to be dropped, find the height of \(4^{th}\) ball above the ground at the same instant :

A particle moves along the \(x\)-axis and has its displacement \(x\) varying with time \(t\) according to the equation \[ x = c_0 (t^2 - 2) + c(t - 2)^2 \] where \(c_0\) and \(c\) are constants of appropriate dimensions. Which of the following statements is correct?

A particle is falling under gravity. Air resistance on particle is F = \(-\)kv. Find correct option :

Paratrooper jumps... opens parachute after 2s... initial height is ___ m.

A projectile is projected with certain speed at an angle of 45\(^\circ\) with horizontal as shown. At t = 2s, projectile is at maximum height and at t = 3s, it just touches a wall at a height H above horizontal. Find H in meters:
(Assume g = 10 m/s\(^2\))

The moment of inertia of a square loop made of four uniform solid cylinders, each having radius R and length L (\(R \le L\)) about an axis passing through the mid points of opposite sides, is (Take the mass of the entire loop as M) :

The r.m.s. speed of oxygen molecules at 47 $^\circ$C is equal to that of the hydrogen molecules kept at _________ $^\circ$C. (Mass of oxygen molecule/mass of hydrogen molecule = 32/2)}

For a particle moving in x-direction according to the relation \(x = 4t^3 - 3t\), consider the following statements:

[(a)] At \(t = 0.866\), \(x = 0\)
[(b)] Direction of velocity of particle remains same
[(c)] Direction of velocity of particle changes at \(x = -1\)
[(d)] Direction of velocity of particle changes at \(x = 0.5\,\text{m}\)
[(e)] Acceleration is non-negative
Correct statements are:

A projectile is projected with speed $v$ at an angle $60^\circ$ with the horizontal. Find the ratio of the difference of kinetic energies at point $C$ (at ground) and point $B$ (at highest point) with the kinetic energy at point $C$ as shown in the diagram:

If a projectile is projected with speed \(v\) at an angle \(60^\circ\) with the horizontal, find the ratio of speed at the highest point (\(v_B\)) to the speed at the final point (\(v_C\)).

Two beads P & Q move along two wires straight and semi circle. At some instant both are shown in figure having same horizontal component of velocity V. Find relation of time taken to reach A by beads :

A parachutist jumps from a helicopter. It falls freely for 2 sec. Then he opens parachute which produces retardation of 3 m/s\(^2\). When his height from ground is 10 m his velocity is 5 m/s. Find his initial height from ground.

A horizontal force of 10 N is applied on a block of mass 1.5 kg which is initially at rest on a rough horizontal surface. The work done by the applied force in a time of 6 s from the beginning of the motion is (Acceleration due to gravity = 10 ms\(^{-2}\); the coefficient of kinetic friction between the block and the surface is 0.2)

A body projected at certain angle (\(\neq 90^\circ\)) from the ground crosses a point in its path at a time of 2.3 s and from there it reaches the ground after a time of 5.7 s. The maximum height reached by the body is (Acceleration due to gravity = 10 ms\(^{-2}\))

The relation between the displacement 'x' (in metre) and the time 't' (in second) of a particle is \( t = 2x^2+3x \). If the displacement of the particle is 25 cm from the origin (x=0), then the acceleration of the particle is

The initial and final velocities of a body projected vertically from the ground are \( 20 \, \text{ms}^{-1} \) and \( 18 \, \text{ms}^{-1} \) respectively. The maximum height reached by the body is (Acceleration due to gravity = \( 10 \, \text{ms}^{-2} \))

A helicopter flying horizontally with a velocity of 288 kmph drops a bomb. If the line joining the point of dropping the bomb, and the point where bomb hits the ground makes an angle \( 45^\circ \) with the horizontal, then the height at which the bomb was dropped is (Acceleration due to gravity = \( 10 \, \text{ms}^{-2} \))

The driver of a bus moving with a velocity of 72 kmph observes a boy walking across the road at a distance of 50 m in front of the bus and decelerates the bus at 5 \( \text{ms}^{-2} \) by applying brakes and is just able to avoid an accident. The reaction time of the driver is