Question 1 : An elevator is moving with 2.5 ms^-1. A bolt in the elevator ceiling 3 m above the elevator falls. How long does it take for the bolt to fall on the floor of elevator?

Question 2 : What is the average velocity during time interval {tex} t = 2 {/tex} s to {tex} t = 5 \mathrm { s } , {/tex} in the following position time curve?<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5d5803a441fcca588ca3554b" /><br>

Question 3 : A particle moves along the sides <em>AB</em>, <em>BC</em>, <em>CD</em> of a square of side 25 m with a velocity of 15m/s. Its average velocity is <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bd591da6d070c2abf82a"/>

Question 4 : A rubber ball is dropped from a height of 5 metres on a plane where the acceleration due to gravity is not known. On bouncing, it rises to a height of 1.8 m. On bouncing, the ball loses its velocity by a factor of

Question 5 : A body is thrown with the velocity {tex} v _ { 0 } {/tex} at an angle {tex} \alpha {/tex} with the horizontal. If the body remains in air for 6{tex} \mathrm { s } {/tex} the maximum height reached by the body will be

Question 6 : A stone is thrown with speed of 20 m/s at an angle of 60<font face="Symbol">&deg;</font> with the ground. Speed of stone when makes an angle of 30<font face="Symbol">&deg;</font> with the horizontal is:

Question 7 : For a body moving in a circular path, a condition for no skidding if {tex} \mu {/tex} is the coefficient of friction, is

Question 8 : A body of mass 1 kg is thrown with a velocity of 10 m s^-1at an angle of 60&deg; with the horizontal. Its momentum at the highest point is-

Question 9 : A body is revolving with a uniform speed {tex} v {/tex} in a circle of radius {tex} r . {/tex} The tangential acceleration is

Question 10 : The retardation of a particle moving in a straight line is proportional to its displacement (proportionality constant being unity). Initial velocity of the particle is <em>v</em>₀. Find the total displacement of the particle till it comes to rest.

Question 11 : If a particle moves in a circle describing equal angles in equal times, its velocity vector

Question 12 : The compass needle of the airplane shows it is heading due North and speedmeter indicates a velocity 240 kmh^-1. Wind is blowing 100 kmh^-1 due east. Find the velocity of airplane with respect to earth.

Question 13 : A particle moves along the parabolic path {tex} y = a x ^ { 2 } {/tex} in such a way that the {tex} x {/tex} component of the velocity remains constant, say {tex} c . {/tex} The acceleration of the particle is

Question 14 : A stone is thrown with speed of 20{tex} \mathrm { m } / \mathrm { s } {/tex} at an angle of {tex} 60 ^ { \circ } {/tex} with the ground. Speed of stone when makes an angle of {tex} 30 ^ { \circ } {/tex} with the horizontal is

Question 15 : The projectiles {tex} A {/tex} and {tex} B {/tex} thrown with velocities {tex} v {/tex} and {tex} \frac { v } { 2 } {/tex} have the same range. If {tex} B {/tex} is thrown at an angle of {tex} 15 ^ { \circ } {/tex} to the horizontal, {tex} A {/tex} must have been thrown at an angle

Question 16 : Two seconds after projection, a projectile is traveling in a direction inclined at {tex} 30 ^ { \circ } {/tex} to the horizontal and after one more second, it is traveling horizontally. The initial angle of projection with the horizontal is

Question 17 : An aeroplane drops a parachutist. After covering a distance of 40 m, he opens the parachute and retards at 2 ms^-2. If he reaches the ground with a speed of 2 m^-1, he remains in the air for about

Question 18 : Acceleration of a particle moving along a straight line is a function of velocity as {tex} a = 2 \sqrt { v } {/tex} . At {tex} t = 2 \mathrm { s } {/tex} , its velocity {tex} v = 16 \mathrm { ms } ^ { - 1 } . {/tex} Its velocity at {tex} t = 3 \mathrm { s } {/tex} will be

Question 19 : The displacement of a particle is given by {tex} x = ( t - 2 ) ^ { 2 } {/tex} where {tex} x {/tex} is in metres and {tex} t {/tex} in seconds. The distance covered by the particle in first {tex}4 \mathrm { s } {/tex} is

Question 20 : The position vector of a particle is {tex} \vec { r } = ( a \cos \omega t ) \hat { i } + ( a \sin \omega t ) \hat { j } . {/tex} The velocity vector of the particle is

Question 21 : A ball is released from the top of a tower of height {tex} h {/tex} metre. It takes {tex} T {/tex} second to reach the ground. What is the position of the ball in {tex} T / 3 {/tex} second?

Question 22 : The displacement-time graph of motion of a particle is shown in the figure. The ratio of the magnitudes of the speeds during the first two seconds and the next four seconds is:<br><img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5ea41b2c1318b26b1c13db48.jpg" />

Question 23 : The driver of a train A running at 25 ms^-1 sights a train B on the same track with 15 ms^-1. The driver of train A applies brakes to produces a deceleration of 1.0 ms^-2. If the trains are 200 m apart, will the trains collide?

Question 24 : A given shaped glass tube having uniform area of cross - section is filled with water and is mounted on a rotatable shaft as shown in fig. If the tube is rotated with a constant angular velocity &omega;, then <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75e5dc491ec95800697f20' height='167' width='219' >

Question 25 : The displacement-time graph of moving particle is shown below<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5dc298404548337453d20ecd' /> <br>Displacement is negative at which point?