List of top Physics Questions on Kinematics asked in JEE Main

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} $)

A bead P sliding on a frictionless semi-circular string... bead Q ejected... relation between $t_P$ and $t_Q$ is

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 :

Velocity of particle varies with position as shown in figure. Find the correct variation of acceleration with position.

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 ($v_C$).

A particle is projected at an angle of $60^\circ$ with the ground. When the projectile makes an angle $45^\circ$ with the horizontal, its speed becomes $20\,\text{m s}^{-1}$. Then the initial velocity is:

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.

Which of the following curves possibly represent one-dimensional motion of a particle?

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. Then, which of the following statements is correct?

An object with mass $ 500 \, g $ moves along x-axis with speed $ v = 4\sqrt{x} \, m/s $. The force acting on the object is :

The angle of projection of a particle is measured from the vertical axis as $ \phi $ and the maximum height reached by the particle is $ h_m $. Here $ h_m $ as function of $ \phi $ can be presented as

The motion of an airplane is represented by the velocity-time graph as shown below. The distance covered by the airplane in the first 30.5 seconds is km.

The relation between time $ t $ and distance $ x $ is $ t = \alpha x^2 + \beta x $, where $ \alpha $ and $ \beta $ are constants. The relation between acceleration $ a $ and velocity $ v $ is:

The coordinates of a particle moving in the $ x $-$ y $ plane are given by: \[x = 2 + 4t, \quad y = 3t + 8t^2.\]The motion of the particle is:

A particle initially at rest starts moving from reference point $x = 0$ along x-axis, with velocity $v$ that varies as $v = 4\sqrt{x}\,\text{m/s}$.
The acceleration of the particle is ___ $\text{ms}^{-2}$.

A particle moving in a straight line covers half the distance with speed 6 m/s. The other half is covered in two equal time intervals with speeds 9 m/s and 15 m/s respectively. The average speed of the particle during the motion is: